Atkin-Lehner |
3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41745i |
Isogeny class |
Conductor |
41745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1848845348625 = 3 · 53 · 118 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11- 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21298,-1203473] |
[a1,a2,a3,a4,a6] |
Generators |
[32070:385177:125] |
Generators of the group modulo torsion |
j |
603136942849/1043625 |
j-invariant |
L |
3.5774346043216 |
L(r)(E,1)/r! |
Ω |
0.39523676113776 |
Real period |
R |
9.0513711174689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125235bk1 3795b1 |
Quadratic twists by: -3 -11 |