Atkin-Lehner |
2- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
71104r |
Isogeny class |
Conductor |
71104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
200228864 = 214 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 2 1 -4 11- 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-58085,5407613] |
[a1,a2,a3,a4,a6] |
j |
1322827548642304/12221 |
j-invariant |
L |
2.4871233866349 |
L(r)(E,1)/r! |
Ω |
1.2435617019149 |
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 |
71104e1 17776a1 |
Quadratic twists by: -4 8 |