Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
74700j |
Isogeny class |
Conductor |
74700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1960426800 = -1 · 24 · 310 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 4 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3360,-74995] |
[a1,a2,a3,a4,a6] |
Generators |
[722:4779:8] |
Generators of the group modulo torsion |
j |
-14386462720/6723 |
j-invariant |
L |
5.0252895101294 |
L(r)(E,1)/r! |
Ω |
0.313525281278 |
Real period |
R |
4.0070847629462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24900e1 74700z1 |
Quadratic twists by: -3 5 |