Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7350cc |
Isogeny class |
Conductor |
7350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-176473500 = -1 · 22 · 3 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-148,881] |
[a1,a2,a3,a4,a6] |
j |
-24389/12 |
j-invariant |
L |
3.3646390677454 |
L(r)(E,1)/r! |
Ω |
1.6823195338727 |
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 |
58800ju1 22050cn1 7350bl1 150a1 |
Quadratic twists by: -4 -3 5 -7 |