Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480m |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
156922500000000 = 28 · 3 · 510 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16756,-583300] |
[a1,a2,a3,a4,a6] |
Generators |
[4017:13202:27] |
Generators of the group modulo torsion |
j |
2032453977841744/612978515625 |
j-invariant |
L |
8.098633280836 |
L(r)(E,1)/r! |
Ω |
0.42942144998107 |
Real period |
R |
6.2864685254141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51240n1 |
Quadratic twists by: -4 |