Atkin-Lehner |
5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
120185a |
Isogeny class |
Conductor |
120185 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2427264 |
Modular degree for the optimal curve |
Δ |
641974400247234925 = 52 · 133 · 438 |
Discriminant |
Eigenvalues |
0 3 5+ 4 2 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-318028,-57264917] |
[a1,a2,a3,a4,a6] |
j |
304349184/54925 |
j-invariant |
L |
4.8848437722342 |
L(r)(E,1)/r! |
Ω |
0.2035352080593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120185e1 |
Quadratic twists by: -43 |