Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480cn |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-776504646400 = -1 · 28 · 52 · 72 · 195 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -3 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1195,-39703] |
[a1,a2,a3,a4,a6] |
j |
15032385536/61902475 |
j-invariant |
L |
1.8166029188213 |
L(r)(E,1)/r! |
Ω |
0.45415073521462 |
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 |
18620r1 74480ba1 |
Quadratic twists by: -4 -7 |