Atkin-Lehner |
5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35525l |
Isogeny class |
Conductor |
35525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-2612175453125 = -1 · 56 · 78 · 29 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -5 -5 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,77750] |
[a1,a2,a3,a4,a6] |
Generators |
[34:326:1] |
Generators of the group modulo torsion |
j |
-1/1421 |
j-invariant |
L |
3.0892327648166 |
L(r)(E,1)/r! |
Ω |
0.64479592323029 |
Real period |
R |
2.395512016686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421f1 5075g1 |
Quadratic twists by: 5 -7 |