Atkin-Lehner |
3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
126405h |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
824256 |
Modular degree for the optimal curve |
Δ |
-42025291027668675 = -1 · 33 · 52 · 538 |
Discriminant |
Eigenvalues |
-1 3+ 5- 3 2 -6 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,83743,-3226444] |
[a1,a2,a3,a4,a6] |
Generators |
[1096:36924:1] |
Generators of the group modulo torsion |
j |
38637/25 |
j-invariant |
L |
5.2309254039015 |
L(r)(E,1)/r! |
Ω |
0.20680103980303 |
Real period |
R |
6.3236206840487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126405d1 126405b1 |
Quadratic twists by: -3 53 |