Atkin-Lehner |
2+ 3+ 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680f |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-2349422295264000 = -1 · 28 · 32 · 53 · 115 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 11+ 6 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8865,2357037] |
[a1,a2,a3,a4,a6] |
j |
-301001704907776/9177430840875 |
j-invariant |
L |
2.3042784318922 |
L(r)(E,1)/r! |
Ω |
0.38404638602386 |
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 |
48840w1 |
Quadratic twists by: -4 |