Atkin-Lehner |
2- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
69580t |
Isogeny class |
Conductor |
69580 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2292084877600000 = -1 · 28 · 55 · 79 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 1 -2 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23340,-2689100] |
[a1,a2,a3,a4,a6] |
Generators |
[275:3430:1] |
Generators of the group modulo torsion |
j |
-46689225424/76103125 |
j-invariant |
L |
4.5487020838384 |
L(r)(E,1)/r! |
Ω |
0.18281574428207 |
Real period |
R |
1.2440673807208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940b1 |
Quadratic twists by: -7 |