Atkin-Lehner |
2- 3- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
102480cf |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
14103871488000 = 222 · 32 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21680,-1222572] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:42:1] |
Generators of the group modulo torsion |
j |
275145002863921/3443328000 |
j-invariant |
L |
8.9972407893208 |
L(r)(E,1)/r! |
Ω |
0.39374203497687 |
Real period |
R |
1.9042164676474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999835784 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810r1 |
Quadratic twists by: -4 |