Atkin-Lehner |
2- 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656co |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-3863285171859456 = -1 · 212 · 32 · 711 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -1 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,38155,-857667] |
[a1,a2,a3,a4,a6] |
Generators |
[44:951:1] [124:2401:1] |
Generators of the group modulo torsion |
j |
12747309056/8016939 |
j-invariant |
L |
11.201240369945 |
L(r)(E,1)/r! |
Ω |
0.25378297828157 |
Real period |
R |
5.5171353744174 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999952929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7791j1 17808s1 |
Quadratic twists by: -4 -7 |