Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
58400p |
Isogeny class |
Conductor |
58400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-7475200 = -1 · 212 · 52 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -5 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] [2:13:1] |
Generators of the group modulo torsion |
j |
109760/73 |
j-invariant |
L |
5.7218304485181 |
L(r)(E,1)/r! |
Ω |
1.4738364303428 |
Real period |
R |
0.9705674135068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58400o1 116800bz1 58400g1 |
Quadratic twists by: -4 8 5 |