Atkin-Lehner |
2+ 3+ 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118b |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
8039146475950936038 = 2 · 312 · 72 · 117 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-207853695,1153326113271] |
[a1,a2,a3,a4,a6] |
Generators |
[4429:563158:1] [532628:-274707:64] |
Generators of the group modulo torsion |
j |
993109104521117840946299541625/8039146475950936038 |
j-invariant |
L |
6.1043586700495 |
L(r)(E,1)/r! |
Ω |
0.16162087714436 |
Real period |
R |
2.6978298038796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354bv2 |
Quadratic twists by: -3 |