Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230fb |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
17899746050340 = 22 · 38 · 5 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6557,19649] |
[a1,a2,a3,a4,a6] |
j |
24137569/13860 |
j-invariant |
L |
4.7190786198146 |
L(r)(E,1)/r! |
Ω |
0.58988482448854 |
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 |
25410bd1 6930l1 |
Quadratic twists by: -3 -11 |