Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362f |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
8.8466656584573E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9030056,9409380396] |
[a1,a2,a3,a4,a6] |
Generators |
[-919:130586:1] |
Generators of the group modulo torsion |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
3.5306041652339 |
L(r)(E,1)/r! |
Ω |
0.12619246890339 |
Real period |
R |
2.7977930821961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121086bi1 1302f1 |
Quadratic twists by: -3 -31 |