Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fe |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
7761600 = 26 · 32 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-450] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
3010936384/121275 |
j-invariant |
L |
4.878932898845 |
L(r)(E,1)/r! |
Ω |
1.4450419575764 |
Real period |
R |
1.688163057138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920il1 36960p2 |
Quadratic twists by: -4 8 |