Atkin-Lehner |
2- 3+ 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370bd |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-6934576153080600000 = -1 · 26 · 39 · 55 · 192 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,475522,10949581] |
[a1,a2,a3,a4,a6] |
j |
604150471718910117/352312968200000 |
j-invariant |
L |
3.4263268121194 |
L(r)(E,1)/r! |
Ω |
0.14276361992301 |
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 |
80370f1 |
Quadratic twists by: -3 |