Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57222bw |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
293760 |
Modular degree for the optimal curve |
Δ |
-223754395677516 = -1 · 22 · 36 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37769,-2905963] |
[a1,a2,a3,a4,a6] |
Generators |
[228436919405010:-768080596051637:997002999000] |
Generators of the group modulo torsion |
j |
-1171657/44 |
j-invariant |
L |
8.2875800228565 |
L(r)(E,1)/r! |
Ω |
0.17085610022145 |
Real period |
R |
24.253099573603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6358b1 57222bm1 |
Quadratic twists by: -3 17 |