Atkin-Lehner |
2+ 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118g |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
119520 |
Modular degree for the optimal curve |
Δ |
-106003038325338 = -1 · 2 · 315 · 73 · 112 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9929,-315940] |
[a1,a2,a3,a4,a6] |
Generators |
[34:230:1] |
Generators of the group modulo torsion |
j |
108268749057908375/106003038325338 |
j-invariant |
L |
5.3304162905407 |
L(r)(E,1)/r! |
Ω |
0.32444002610613 |
Real period |
R |
1.6429589019942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999957 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
123354cd1 |
Quadratic twists by: -3 |