Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101200bc |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-4.244635648E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 0 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1971875,-1110918750] |
[a1,a2,a3,a4,a6] |
Generators |
[2997865913580467750582689867745:188407218513420690330240028892978:673815373025865839504851375] |
Generators of the group modulo torsion |
j |
-21198340490625/1061158912 |
j-invariant |
L |
6.2321224619909 |
L(r)(E,1)/r! |
Ω |
0.063516238778145 |
Real period |
R |
49.059284537919 |
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 |
12650h1 101200cb1 |
Quadratic twists by: -4 5 |