Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886r |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1330560 |
Modular degree for the optimal curve |
Δ |
-167935977271738368 = -1 · 214 · 33 · 7 · 119 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-275157,-58972256] |
[a1,a2,a3,a4,a6] |
Generators |
[1331:43302:1] |
Generators of the group modulo torsion |
j |
-977077413467/71221248 |
j-invariant |
L |
5.2840146655234 |
L(r)(E,1)/r! |
Ω |
0.1037904100339 |
Real period |
R |
4.242536040193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000602 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886bi1 |
Quadratic twists by: -11 |