Atkin-Lehner |
2- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
57820c |
Isogeny class |
Conductor |
57820 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-197245991600 = -1 · 24 · 52 · 74 · 593 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -6 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1241,-27616] |
[a1,a2,a3,a4,a6] |
Generators |
[44:70:1] |
Generators of the group modulo torsion |
j |
-5506514944/5134475 |
j-invariant |
L |
4.8925475514111 |
L(r)(E,1)/r! |
Ω |
0.38730626240544 |
Real period |
R |
2.1053741471345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57820k1 |
Quadratic twists by: -7 |