Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
41574c |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42147840 |
Modular degree for the optimal curve |
Δ |
2.847712443924E+25 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 5 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5063246763,138670602576381] |
[a1,a2,a3,a4,a6] |
j |
2974067900496992515620792961/5899782742437003264 |
j-invariant |
L |
0.22831418061351 |
L(r)(E,1)/r! |
Ω |
0.057078545123259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722bn1 3198d1 |
Quadratic twists by: -3 13 |