Atkin-Lehner |
5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10675h |
Isogeny class |
Conductor |
10675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
166796875 = 58 · 7 · 61 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- -1 2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-625,-6250] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:8:1] |
Generators of the group modulo torsion |
j |
1732323601/10675 |
j-invariant |
L |
4.0992712478827 |
L(r)(E,1)/r! |
Ω |
0.95499327595327 |
Real period |
R |
2.1462304243927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075bl1 2135f1 74725c1 |
Quadratic twists by: -3 5 -7 |