Atkin-Lehner |
2- 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
69700b |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-13940000000 = -1 · 28 · 57 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 6 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,5750] |
[a1,a2,a3,a4,a6] |
j |
-148176/3485 |
j-invariant |
L |
6.3091791189285 |
L(r)(E,1)/r! |
Ω |
1.0515298588599 |
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 |
13940i1 |
Quadratic twists by: 5 |