Atkin-Lehner |
2+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59048b |
Isogeny class |
Conductor |
59048 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1482624 |
Modular degree for the optimal curve |
Δ |
1096108697294583808 = 211 · 119 · 613 |
Discriminant |
Eigenvalues |
2+ 1 4 2 11+ 5 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1783096,-915662288] |
[a1,a2,a3,a4,a6] |
j |
129832677718/226981 |
j-invariant |
L |
7.0557830511944 |
L(r)(E,1)/r! |
Ω |
0.13066264909505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118096d1 59048j1 |
Quadratic twists by: -4 -11 |