Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bk |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-7.85357569609E+19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1068745,-31017378] |
[a1,a2,a3,a4,a6] |
Generators |
[11690:1262961:1] |
Generators of the group modulo torsion |
j |
80062991/46575 |
j-invariant |
L |
4.0102702717865 |
L(r)(E,1)/r! |
Ω |
0.11418929351553 |
Real period |
R |
4.3899367050462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000260255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39675h1 23805m1 5175e1 |
Quadratic twists by: -3 5 -23 |