Atkin-Lehner |
2- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
34720w |
Isogeny class |
Conductor |
34720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-60760000 = -1 · 26 · 54 · 72 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-106,-600] |
[a1,a2,a3,a4,a6] |
j |
-2077552576/949375 |
j-invariant |
L |
1.454684232125 |
L(r)(E,1)/r! |
Ω |
0.72734211605232 |
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 |
34720b1 69440by1 |
Quadratic twists by: -4 8 |