Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30723o |
Isogeny class |
Conductor |
30723 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
206976 |
Modular degree for the optimal curve |
Δ |
2231838677554101 = 37 · 79 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-63569,5756267] |
[a1,a2,a3,a4,a6] |
j |
704018907136/55307043 |
j-invariant |
L |
2.7094683403721 |
L(r)(E,1)/r! |
Ω |
0.45157805672876 |
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 |
92169r1 30723bc1 |
Quadratic twists by: -3 -7 |