Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050bc |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-51314688000000 = -1 · 222 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51155,4479347] |
[a1,a2,a3,a4,a6] |
Generators |
[123:130:1] |
Generators of the group modulo torsion |
j |
-35091039199419/121634816 |
j-invariant |
L |
6.2320316010818 |
L(r)(E,1)/r! |
Ω |
0.63520866684156 |
Real period |
R |
0.44595450042276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400dj1 13050c1 522b1 |
Quadratic twists by: -4 -3 5 |