Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2691g |
Isogeny class |
Conductor |
2691 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-1.2284116994737E+21 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 6 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1177960,1612589114] |
[a1,a2,a3,a4,a6] |
j |
247963729379947346375/1685064059634661407 |
j-invariant |
L |
1.1152836178741 |
L(r)(E,1)/r! |
Ω |
0.11152836178741 |
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 |
43056bj1 897d1 67275h1 34983i1 |
Quadratic twists by: -4 -3 5 13 |