Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660bg |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1137024 |
Modular degree for the optimal curve |
Δ |
-108579847434392880 = -1 · 24 · 37 · 5 · 710 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115248,-21865907] |
[a1,a2,a3,a4,a6] |
Generators |
[443:3744:1] |
Generators of the group modulo torsion |
j |
-51380224/32955 |
j-invariant |
L |
5.1441628484654 |
L(r)(E,1)/r! |
Ω |
0.12591706475304 |
Real period |
R |
3.4044650095982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999139002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220bg1 114660bk1 |
Quadratic twists by: -3 -7 |