Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610p |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3331938240000 = -1 · 29 · 39 · 54 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2385,74925] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-345:1] |
Generators of the group modulo torsion |
j |
3889584671/8640000 |
j-invariant |
L |
3.4312272750904 |
L(r)(E,1)/r! |
Ω |
0.55177794659951 |
Real period |
R |
0.77731161969769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bl1 47610z1 |
Quadratic twists by: -3 -23 |