Atkin-Lehner |
2+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
90334b |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
654720 |
Modular degree for the optimal curve |
Δ |
30144580827314704 = 24 · 318 · 472 |
Discriminant |
Eigenvalues |
2+ 1 1 1 -3 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93718,7214680] |
[a1,a2,a3,a4,a6] |
Generators |
[-319:2321:1] [80:440:1] |
Generators of the group modulo torsion |
j |
106731481/35344 |
j-invariant |
L |
10.421095069871 |
L(r)(E,1)/r! |
Ω |
0.34271191582008 |
Real period |
R |
2.5339783915596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992843 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334g1 |
Quadratic twists by: -31 |