Atkin-Lehner |
2+ 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
90024a |
Isogeny class |
Conductor |
90024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
2864508945408 = 210 · 37 · 113 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8928,-311364] |
[a1,a2,a3,a4,a6] |
Generators |
[730:19536:1] |
Generators of the group modulo torsion |
j |
57750651500/2101707 |
j-invariant |
L |
4.3569475866861 |
L(r)(E,1)/r! |
Ω |
0.49224113304944 |
Real period |
R |
4.4256232286233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90024p1 |
Quadratic twists by: -11 |