Atkin-Lehner |
2+ 3+ 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090d |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-29262502164495600 = -1 · 24 · 33 · 52 · 76 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,68970,4356900] |
[a1,a2,a3,a4,a6] |
j |
1343807572156489413/1083796376462800 |
j-invariant |
L |
1.9227460909697 |
L(r)(E,1)/r! |
Ω |
0.24034326317919 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
90090cl3 |
Quadratic twists by: -3 |