Atkin-Lehner |
2- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850bk |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
211341312 |
Modular degree for the optimal curve |
Δ |
-2.024165751125E+28 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6808632713,216348713579417] |
[a1,a2,a3,a4,a6] |
j |
-387524431014208664657929/224720000000000000 |
j-invariant |
L |
7.2932535729232 |
L(r)(E,1)/r! |
Ω |
0.037985707587104 |
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 |
25970b1 129850cc1 |
Quadratic twists by: 5 -7 |