Atkin-Lehner |
5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29645o |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-7294783303115 = -1 · 5 · 77 · 116 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 11- 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7905,302763] |
[a1,a2,a3,a4,a6] |
j |
-262144/35 |
j-invariant |
L |
1.4418750602109 |
L(r)(E,1)/r! |
Ω |
0.72093753010595 |
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 |
4235b1 245c1 |
Quadratic twists by: -7 -11 |