Atkin-Lehner |
2+ 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296g |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2752512 |
Modular degree for the optimal curve |
Δ |
-1665842180071394304 = -1 · 210 · 314 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7001237,7132945365] |
[a1,a2,a3,a4,a6] |
j |
-37063647376498477760512/1626799003975971 |
j-invariant |
L |
2.0020198734852 |
L(r)(E,1)/r! |
Ω |
0.25025247623248 |
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 |
79296cd1 4956d1 |
Quadratic twists by: -4 8 |