Atkin-Lehner |
2- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113344dg |
Isogeny class |
Conductor |
113344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-58032128 = -1 · 215 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-385] |
[a1,a2,a3,a4,a6] |
j |
-125000/1771 |
j-invariant |
L |
3.3888920878032 |
L(r)(E,1)/r! |
Ω |
0.84722312743098 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113344dx1 56672a1 |
Quadratic twists by: -4 8 |