Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200ct |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
9472000000 = 214 · 56 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 5 0 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-533,563] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:575:8] |
Generators of the group modulo torsion |
j |
65536/37 |
j-invariant |
L |
6.9734114456395 |
L(r)(E,1)/r! |
Ω |
1.1158094296806 |
Real period |
R |
3.1248218827789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999836 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200ba1 14800n1 2368l1 |
Quadratic twists by: -4 8 5 |