Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104bg |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26611200 |
Modular degree for the optimal curve |
Δ |
-5.8330692225341E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-247801491,1505916023634] |
[a1,a2,a3,a4,a6] |
j |
-35091039199419/121634816 |
j-invariant |
L |
0.60911894334905 |
L(r)(E,1)/r! |
Ω |
0.076139811133995 |
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 |
15138a1 121104bf1 4176o1 |
Quadratic twists by: -4 -3 29 |