Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350ez |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
135963056250000 = 24 · 37 · 58 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-138380,-19770753] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:171:1] |
Generators of the group modulo torsion |
j |
25727239787761/11936400 |
j-invariant |
L |
12.121602263689 |
L(r)(E,1)/r! |
Ω |
0.24753895975841 |
Real period |
R |
1.0201763015797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450f1 18270p1 |
Quadratic twists by: -3 5 |