Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
1422h |
Isogeny class |
Conductor |
1422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
320 |
Modular degree for the optimal curve |
Δ |
-55978452 = -1 · 22 · 311 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 5 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59,-385] |
[a1,a2,a3,a4,a6] |
j |
-30664297/76788 |
j-invariant |
L |
3.2130946293727 |
L(r)(E,1)/r! |
Ω |
0.80327365734319 |
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 |
11376l1 45504y1 474b1 35550r1 |
Quadratic twists by: -4 8 -3 5 |