Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7350bq |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-16416171597656250 = -1 · 2 · 36 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 -5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39838,6865781] |
[a1,a2,a3,a4,a6] |
j |
-77626969/182250 |
j-invariant |
L |
2.7724112424085 |
L(r)(E,1)/r! |
Ω |
0.34655140530106 |
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 |
58800hx1 22050z1 1470f1 7350cp1 |
Quadratic twists by: -4 -3 5 -7 |