Atkin-Lehner |
2- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49610z |
Isogeny class |
Conductor |
49610 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-7989740110 = -1 · 2 · 5 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -2 11- 5 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,98,-4309] |
[a1,a2,a3,a4,a6] |
Generators |
[4222:94823:8] |
Generators of the group modulo torsion |
j |
59319/4510 |
j-invariant |
L |
9.5952604177383 |
L(r)(E,1)/r! |
Ω |
0.62527142486155 |
Real period |
R |
7.6728761592225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4510e1 |
Quadratic twists by: -11 |