Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
30690bd |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
13074432 |
Modular degree for the optimal curve |
Δ |
6.6219699707188E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-620334428,-5933792291169] |
[a1,a2,a3,a4,a6] |
j |
36213778215446211023083538041/90836350764318720000000 |
j-invariant |
L |
2.9045561865797 |
L(r)(E,1)/r! |
Ω |
0.030255793610222 |
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 |
10230g1 |
Quadratic twists by: -3 |