Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350s |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-111178305000 = -1 · 23 · 33 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 6 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1200,1800] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:25:1] |
Generators of the group modulo torsion |
j |
2595575/1512 |
j-invariant |
L |
2.8520282690673 |
L(r)(E,1)/r! |
Ω |
0.63655348133941 |
Real period |
R |
1.1201055184971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800kg1 22050fu1 7350cr1 1050j1 |
Quadratic twists by: -4 -3 5 -7 |