Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086d |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-23586674127816744 = -1 · 23 · 37 · 72 · 317 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -5 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-180,7389144] |
[a1,a2,a3,a4,a6] |
Generators |
[969:29787:1] |
Generators of the group modulo torsion |
j |
-1/36456 |
j-invariant |
L |
3.4913848789637 |
L(r)(E,1)/r! |
Ω |
0.30155866792698 |
Real period |
R |
0.36180613787523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362ba1 3906f1 |
Quadratic twists by: -3 -31 |