Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672ce |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19169280 |
Modular degree for the optimal curve |
Δ |
-2.905953261765E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31784187,69456662570] |
[a1,a2,a3,a4,a6] |
j |
-1189240134686977282489/9731978676928512 |
j-invariant |
L |
0.94831451884232 |
L(r)(E,1)/r! |
Ω |
0.11853935133644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834q1 34224t1 |
Quadratic twists by: -4 -3 |