Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304d |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
-1.0554125527444E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 1 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4437505,49559827969] |
[a1,a2,a3,a4,a6] |
j |
-6394640503489/698390001504 |
j-invariant |
L |
0.86133055624012 |
L(r)(E,1)/r! |
Ω |
0.071777702380845 |
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 |
122304gp1 3822ba1 122304db1 |
Quadratic twists by: -4 8 -7 |