Atkin-Lehner |
2- 5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
62480o |
Isogeny class |
Conductor |
62480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-1135636480 = -1 · 212 · 5 · 11 · 712 |
Discriminant |
Eigenvalues |
2- -2 5- 0 11- 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-360,-3212] |
[a1,a2,a3,a4,a6] |
j |
-1263214441/277255 |
j-invariant |
L |
1.0830917912475 |
L(r)(E,1)/r! |
Ω |
0.54154589581514 |
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 |
3905b1 |
Quadratic twists by: -4 |