Atkin-Lehner |
5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
101675m |
Isogeny class |
Conductor |
101675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-1588671875 = -1 · 58 · 72 · 83 |
Discriminant |
Eigenvalues |
0 1 5+ 7- -3 4 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,117,1894] |
[a1,a2,a3,a4,a6] |
Generators |
[88:837:1] |
Generators of the group modulo torsion |
j |
229376/2075 |
j-invariant |
L |
6.5302826165865 |
L(r)(E,1)/r! |
Ω |
1.1009880889646 |
Real period |
R |
2.9656463572791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20335d1 101675b1 |
Quadratic twists by: 5 -7 |