Atkin-Lehner |
2+ 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270o |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
209212416 |
Modular degree for the optimal curve |
Δ |
-3.1595935819505E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 -1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-390185010,85572724857300] |
[a1,a2,a3,a4,a6] |
j |
-9011724925542280341852483361/4334147574692045783040000000 |
j-invariant |
L |
0.16362733121623 |
L(r)(E,1)/r! |
Ω |
0.020453333707349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42090w1 |
Quadratic twists by: -3 |