Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
118580ba |
Isogeny class |
Conductor |
118580 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
960960 |
Modular degree for the optimal curve |
Δ |
-91505761754274560 = -1 · 28 · 5 · 79 · 116 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 11- -5 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,110675,-3350983] |
[a1,a2,a3,a4,a6] |
Generators |
[1307:48706:1] |
Generators of the group modulo torsion |
j |
8192/5 |
j-invariant |
L |
4.0729328381499 |
L(r)(E,1)/r! |
Ω |
0.19639935076856 |
Real period |
R |
3.4563359824637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999513535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118580g1 980e1 |
Quadratic twists by: -7 -11 |