Atkin-Lehner |
2+ 3+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
40992d |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4999680 |
Modular degree for the optimal curve |
Δ |
-1.6345040543839E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 4 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7469903,17790959329] |
[a1,a2,a3,a4,a6] |
j |
11254043592436673822912/39904884140230993401 |
j-invariant |
L |
0.72477595261431 |
L(r)(E,1)/r! |
Ω |
0.072477595268897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40992g1 81984cv1 122976bl1 |
Quadratic twists by: -4 8 -3 |