Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296r |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
33011241984 = 210 · 33 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12269,518931] |
[a1,a2,a3,a4,a6] |
j |
199474163304448/32237541 |
j-invariant |
L |
3.387033934218 |
L(r)(E,1)/r! |
Ω |
1.1290113113651 |
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 |
79296bs1 9912a1 |
Quadratic twists by: -4 8 |