Atkin-Lehner |
2+ 3- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118l |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
-2025972849180672 = -1 · 228 · 37 · 7 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 3 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88695,-10373027] |
[a1,a2,a3,a4,a6] |
Generators |
[690242:30251999:343] |
Generators of the group modulo torsion |
j |
-105851338052407921/2779112275968 |
j-invariant |
L |
5.9174478891691 |
L(r)(E,1)/r! |
Ω |
0.13810884666797 |
Real period |
R |
5.3557828037823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20706t1 |
Quadratic twists by: -3 |