Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78792c |
Isogeny class |
Conductor |
78792 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-10085376 = -1 · 210 · 3 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,-132] |
[a1,a2,a3,a4,a6] |
j |
137564/201 |
j-invariant |
L |
2.4287331512255 |
L(r)(E,1)/r! |
Ω |
1.214366579639 |
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 |
78792j1 |
Quadratic twists by: -7 |