Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072d |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209920 |
Modular degree for the optimal curve |
Δ |
1257753210048 = 26 · 35 · 172 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93812,-11028162] |
[a1,a2,a3,a4,a6] |
Generators |
[-28695448695937030:-606570821062207:162146094677000] |
Generators of the group modulo torsion |
j |
1426670076244508992/19652393907 |
j-invariant |
L |
5.950453543024 |
L(r)(E,1)/r! |
Ω |
0.27279407234347 |
Real period |
R |
21.812986959277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75072bk1 37536g4 |
Quadratic twists by: -4 8 |