Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bb |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7630848 |
Modular degree for the optimal curve |
Δ |
-2.7713819149428E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 3 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2242784,-2178801920] |
[a1,a2,a3,a4,a6] |
Generators |
[1089616:19066752:1331] |
Generators of the group modulo torsion |
j |
3889584671/8640000 |
j-invariant |
L |
5.6399780790804 |
L(r)(E,1)/r! |
Ω |
0.074429588910596 |
Real period |
R |
9.472002647367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999529281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bh1 126960bv1 |
Quadratic twists by: -4 -23 |