Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gs |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-20413369408094208 = -1 · 216 · 310 · 74 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -3 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-381089,90683487] |
[a1,a2,a3,a4,a6] |
Generators |
[-257:-13104:1] [-491:12636:1] |
Generators of the group modulo torsion |
j |
-38898423529252/129730653 |
j-invariant |
L |
12.804708841081 |
L(r)(E,1)/r! |
Ω |
0.38566585210324 |
Real period |
R |
0.092226562166599 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999995821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304f1 30576a1 122304fg1 |
Quadratic twists by: -4 8 -7 |