Atkin-Lehner |
2- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
113398g |
Isogeny class |
Conductor |
113398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.4355366789639E+20 |
Discriminant |
Eigenvalues |
2- -2 -2 0 4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4241874,-3096542636] |
[a1,a2,a3,a4,a6] |
Generators |
[454046:-306173478:1] |
Generators of the group modulo torsion |
j |
9511014591995617/837803474864 |
j-invariant |
L |
5.2931798510618 |
L(r)(E,1)/r! |
Ω |
0.10579018777737 |
Real period |
R |
12.508673987542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999454206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3658c2 |
Quadratic twists by: -31 |