Atkin-Lehner |
5- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
9805c |
Isogeny class |
Conductor |
9805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
1225625 = 54 · 37 · 53 |
Discriminant |
Eigenvalues |
1 2 5- -4 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32,-61] |
[a1,a2,a3,a4,a6] |
j |
3803721481/1225625 |
j-invariant |
L |
2.0503096411091 |
L(r)(E,1)/r! |
Ω |
2.0503096411091 |
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 |
88245c1 49025b1 |
Quadratic twists by: -3 5 |