Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600gb |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
8716379112000 = 26 · 33 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16578,814752] |
[a1,a2,a3,a4,a6] |
j |
1560896/27 |
j-invariant |
L |
1.4682861703285 |
L(r)(E,1)/r! |
Ω |
0.73414271293657 |
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 |
117600dz1 117600eb1 117600id1 |
Quadratic twists by: -4 5 -7 |