Atkin-Lehner |
2- 5- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
107300p |
Isogeny class |
Conductor |
107300 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
57024 |
Modular degree for the optimal curve |
Δ |
9023930000 = 24 · 54 · 293 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -3 2 -4 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1025,-11775] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:29:1] [-15:15:1] |
Generators of the group modulo torsion |
j |
11909548800/902393 |
j-invariant |
L |
10.210589285389 |
L(r)(E,1)/r! |
Ω |
0.8478034166191 |
Real period |
R |
0.44605856274569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107300k1 |
Quadratic twists by: 5 |