Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090i |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-25493217750000 = -1 · 24 · 33 · 56 · 74 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3549,-255307] |
[a1,a2,a3,a4,a6] |
Generators |
[137:-1416:1] |
Generators of the group modulo torsion |
j |
-183124637435403/944193250000 |
j-invariant |
L |
4.824658071532 |
L(r)(E,1)/r! |
Ω |
0.27878309339232 |
Real period |
R |
0.72108899186621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90090ch1 |
Quadratic twists by: -3 |