Atkin-Lehner |
2+ 3- 5+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090bc |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-256134879000000 = -1 · 26 · 39 · 56 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38610,-3010284] |
[a1,a2,a3,a4,a6] |
Generators |
[2574:32463:8] |
Generators of the group modulo torsion |
j |
-8731762524444961/351351000000 |
j-invariant |
L |
4.2495263912681 |
L(r)(E,1)/r! |
Ω |
0.16989136046936 |
Real period |
R |
3.1266498715695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999720669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030cd1 |
Quadratic twists by: -3 |