Atkin-Lehner |
3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2805b |
Isogeny class |
Conductor |
2805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
68904825 = 3 · 52 · 11 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-113,192] |
[a1,a2,a3,a4,a6] |
j |
161789533849/68904825 |
j-invariant |
L |
1.7620951144345 |
L(r)(E,1)/r! |
Ω |
1.7620951144345 |
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 |
44880cb1 8415o1 14025s1 30855d1 |
Quadratic twists by: -4 -3 5 -11 |