Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bd |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-59052482179891200 = -1 · 220 · 38 · 52 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144495,-24122579] |
[a1,a2,a3,a4,a6] |
Generators |
[593:9626:1] |
Generators of the group modulo torsion |
j |
-457674096098484721/81004776652800 |
j-invariant |
L |
4.4803649829476 |
L(r)(E,1)/r! |
Ω |
0.12126575694181 |
Real period |
R |
2.3091664014541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bi1 |
Quadratic twists by: -3 |