Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9310r |
Isogeny class |
Conductor |
9310 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-63948496601019520 = -1 · 27 · 5 · 79 · 195 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -1 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-174082,-30445439] |
[a1,a2,a3,a4,a6] |
j |
-4959007166945889/543553252480 |
j-invariant |
L |
3.2520926417992 |
L(r)(E,1)/r! |
Ω |
0.11614616577854 |
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 |
74480cp1 83790y1 46550f1 1330g1 |
Quadratic twists by: -4 -3 5 -7 |