Atkin-Lehner |
3- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57477k |
Isogeny class |
Conductor |
57477 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
121680 |
Modular degree for the optimal curve |
Δ |
73340068091157 = 313 · 76 · 17 · 23 |
Discriminant |
Eigenvalues |
0 3- -2 7- 2 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-25839,-1553317] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:121:1] |
Generators of the group modulo torsion |
j |
16217331171328/623380293 |
j-invariant |
L |
5.2741551127708 |
L(r)(E,1)/r! |
Ω |
0.37744716416644 |
Real period |
R |
1.0748636576484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1173b1 |
Quadratic twists by: -7 |