Atkin-Lehner |
2- 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522q |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
132608 |
Modular degree for the optimal curve |
Δ |
-2667795300352 = -1 · 214 · 73 · 132 · 532 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15805,772741] |
[a1,a2,a3,a4,a6] |
Generators |
[1173:-11624:27] [-418:9851:8] |
Generators of the group modulo torsion |
j |
-1272879615234375/7777828864 |
j-invariant |
L |
14.361616603643 |
L(r)(E,1)/r! |
Ω |
0.81359670787435 |
Real period |
R |
0.6304289013674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67522t1 |
Quadratic twists by: -7 |