Atkin-Lehner |
2+ 3+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35322h |
Isogeny class |
Conductor |
35322 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12004608 |
Modular degree for the optimal curve |
Δ |
-5.9259788133277E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,50970470,342887907136] |
[a1,a2,a3,a4,a6] |
j |
1009479798755875/4084868810988 |
j-invariant |
L |
0.08917598894644 |
L(r)(E,1)/r! |
Ω |
0.044587994484873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105966ce1 35322bc1 |
Quadratic twists by: -3 29 |