Atkin-Lehner |
3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
74025t |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
93687890625 = 36 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -6 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1167,4616] |
[a1,a2,a3,a4,a6] |
Generators |
[-218:1109:8] [-58:929:8] |
Generators of the group modulo torsion |
j |
15438249/8225 |
j-invariant |
L |
12.304759740566 |
L(r)(E,1)/r! |
Ω |
0.93668845553799 |
Real period |
R |
6.568224294726 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8225c1 14805k1 |
Quadratic twists by: -3 5 |