Atkin-Lehner |
2+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334h |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
296217600 |
Modular degree for the optimal curve |
Δ |
-3.1545666889065E+32 |
Discriminant |
Eigenvalues |
2+ -1 -2 4 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2440799194,-853268892840044] |
[a1,a2,a3,a4,a6] |
Generators |
[142617909687588982826076726595413043336910402790225187497013355322333981505872508:94380358102001713473215843576460843865332138530482908395931424133881850516826033858:325998440156910812293587812352090163589620231194364058602457469581003013473] |
Generators of the group modulo torsion |
j |
1811964574180717958735063/355442659725313046478848 |
j-invariant |
L |
3.9193071307508 |
L(r)(E,1)/r! |
Ω |
0.0081033166344452 |
Real period |
R |
120.9167587655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914a1 |
Quadratic twists by: -31 |