Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350d |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
340483559062500 = 22 · 33 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18400,359500] |
[a1,a2,a3,a4,a6] |
j |
1092727/540 |
j-invariant |
L |
0.95841126990408 |
L(r)(E,1)/r! |
Ω |
0.47920563495204 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58800il1 22050eg1 1470o1 7350z1 |
Quadratic twists by: -4 -3 5 -7 |