Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304hj |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
58016219369472 = 212 · 33 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159609,-24593913] |
[a1,a2,a3,a4,a6] |
j |
2720547136/351 |
j-invariant |
L |
1.4331421005119 |
L(r)(E,1)/r! |
Ω |
0.23885720493667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304fk1 61152k1 122304gc1 |
Quadratic twists by: -4 8 -7 |