Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
74480bk |
Isogeny class |
Conductor |
74480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-160228526080000000 = -1 · 217 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -1 3 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54896,19866580] |
[a1,a2,a3,a4,a6] |
Generators |
[380:7350:1] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
4.0820944640281 |
L(r)(E,1)/r! |
Ω |
0.27671495021547 |
Real period |
R |
3.6879959515652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987733 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310q1 10640be1 |
Quadratic twists by: -4 -7 |