Atkin-Lehner |
3+ 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
127743p |
Isogeny class |
Conductor |
127743 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
8.1695828310836E+19 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-66361950,-208105513713] |
[a1,a2,a3,a4,a6] |
j |
274721658212865197265625/694403082991233 |
j-invariant |
L |
0.42316418369929 |
L(r)(E,1)/r! |
Ω |
0.052895634980614 |
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 |
18249p1 |
Quadratic twists by: -7 |