Atkin-Lehner |
3- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415f |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5570560 |
Modular degree for the optimal curve |
Δ |
-6.6908171081664E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-752850,3943691455] |
[a1,a2,a3,a4,a6] |
Generators |
[1362:73099:1] |
Generators of the group modulo torsion |
j |
-64732424357313165601/9178075594192655535 |
j-invariant |
L |
6.9203670663966 |
L(r)(E,1)/r! |
Ω |
0.10913795525105 |
Real period |
R |
3.9630845285643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805g1 |
Quadratic twists by: -3 |