Atkin-Lehner |
2+ 7- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386l |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-271917454093376 = -1 · 26 · 710 · 132 · 89 |
Discriminant |
Eigenvalues |
2+ 1 1 7- -2 13- -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8013,-840696] |
[a1,a2,a3,a4,a6] |
Generators |
[123:134:1] [459:9374:1] |
Generators of the group modulo torsion |
j |
-483551781049/2311260224 |
j-invariant |
L |
10.835948853857 |
L(r)(E,1)/r! |
Ω |
0.22828407464745 |
Real period |
R |
2.9666844017594 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16198c1 |
Quadratic twists by: -7 |