Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480b |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
3148704000 = 28 · 32 · 53 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4836,131040] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:232:1] [24:168:1] |
Generators of the group modulo torsion |
j |
48868884387664/12299625 |
j-invariant |
L |
8.9140625639008 |
L(r)(E,1)/r! |
Ω |
1.3845061955118 |
Real period |
R |
3.2192209009288 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999761 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45240q1 |
Quadratic twists by: -4 |