Atkin-Lehner |
3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39975i |
Isogeny class |
Conductor |
39975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
998750390625 = 32 · 58 · 132 · 412 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2500,-3125] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:1643:8] |
Generators of the group modulo torsion |
j |
110661134401/63920025 |
j-invariant |
L |
5.5243153145575 |
L(r)(E,1)/r! |
Ω |
0.73745077099076 |
Real period |
R |
3.7455485381988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119925bc2 7995j2 |
Quadratic twists by: -3 5 |