Atkin-Lehner |
2- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
47300r |
Isogeny class |
Conductor |
47300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-100730080000 = -1 · 28 · 54 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- 2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1933,-35463] |
[a1,a2,a3,a4,a6] |
Generators |
[123:1254:1] |
Generators of the group modulo torsion |
j |
-4994867200/629563 |
j-invariant |
L |
9.7733894667223 |
L(r)(E,1)/r! |
Ω |
0.35747279736986 |
Real period |
R |
2.2783527256358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47300k1 |
Quadratic twists by: 5 |