Atkin-Lehner |
2- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440dl |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-3196787108085760000 = -1 · 236 · 54 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-173825,-90490625] |
[a1,a2,a3,a4,a6] |
j |
-2215761453033409/12194775040000 |
j-invariant |
L |
0.84031736974222 |
L(r)(E,1)/r! |
Ω |
0.10503967502283 |
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 |
69440bu1 17360v1 |
Quadratic twists by: -4 8 |