Atkin-Lehner |
3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
975a |
Isogeny class |
Conductor |
975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
82265625 = 34 · 57 · 13 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2750,54375] |
[a1,a2,a3,a4,a6] |
Generators |
[26:23:1] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
2.6002925141077 |
L(r)(E,1)/r! |
Ω |
1.799072560302 |
Real period |
R |
1.4453516614533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15600bz1 62400cs1 2925g1 195a1 |
Quadratic twists by: -4 8 -3 5 |