Atkin-Lehner |
2+ 3- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
69678o |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3698688 |
Modular degree for the optimal curve |
Δ |
-6768096284278812672 = -1 · 212 · 38 · 79 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -4 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5202045,-4567186107] |
[a1,a2,a3,a4,a6] |
j |
-529219922424103/230068224 |
j-invariant |
L |
3.1988559291149 |
L(r)(E,1)/r! |
Ω |
0.049982123580506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23226y1 69678p1 |
Quadratic twists by: -3 -7 |