Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
115632bd |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1376256 |
Modular degree for the optimal curve |
Δ |
35002629004197888 = 226 · 310 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2140275,1205147954] |
[a1,a2,a3,a4,a6] |
Generators |
[-1207:45056:1] |
Generators of the group modulo torsion |
j |
363115653908640625/11722309632 |
j-invariant |
L |
7.3077692890639 |
L(r)(E,1)/r! |
Ω |
0.34265719588926 |
Real period |
R |
2.6658455545655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14454c1 38544h1 |
Quadratic twists by: -4 -3 |