Atkin-Lehner |
2+ 3+ 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90480d |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
125948160 = 28 · 32 · 5 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,576] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] [0:24:1] |
Generators of the group modulo torsion |
j |
1650587344/491985 |
j-invariant |
L |
7.9834681073393 |
L(r)(E,1)/r! |
Ω |
1.7225344452261 |
Real period |
R |
2.3173609474302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45240g1 |
Quadratic twists by: -4 |