Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ec |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5419008 |
Modular degree for the optimal curve |
Δ |
-8924493208180752384 = -1 · 225 · 3 · 79 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -5 13- -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9716961,11656177791] |
[a1,a2,a3,a4,a6] |
j |
-9591639636223/843648 |
j-invariant |
L |
2.6532326931178 |
L(r)(E,1)/r! |
Ω |
0.22110281096097 |
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 |
122304fz1 3822c1 122304q1 |
Quadratic twists by: -4 8 -7 |