Atkin-Lehner |
2- 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
74340p |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
87409954217250000 = 24 · 315 · 56 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435468,-109688483] |
[a1,a2,a3,a4,a6] |
Generators |
[-602836031:942232500:1685159] |
Generators of the group modulo torsion |
j |
782969674228842496/7493994703125 |
j-invariant |
L |
6.7708453369202 |
L(r)(E,1)/r! |
Ω |
0.18595652518226 |
Real period |
R |
9.1027262011995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780o1 |
Quadratic twists by: -3 |