Atkin-Lehner |
2+ 3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090v |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-432867945510000 = -1 · 24 · 39 · 54 · 7 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50310,-4444700] |
[a1,a2,a3,a4,a6] |
j |
-19318081390040161/593783190000 |
j-invariant |
L |
1.2727989131022 |
L(r)(E,1)/r! |
Ω |
0.15909985323382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030bf1 |
Quadratic twists by: -3 |