Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360br |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
23592960 |
Modular degree for the optimal curve |
Δ |
1.5286396064479E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193008860,1032128668992] |
[a1,a2,a3,a4,a6] |
j |
26401417552259125806544/507547744790625 |
j-invariant |
L |
2.2907197582894 |
L(r)(E,1)/r! |
Ω |
0.11453596934487 |
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 |
64680bc1 18480t1 |
Quadratic twists by: -4 -7 |