Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7800s |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49280 |
Modular degree for the optimal curve |
Δ |
-1151455500000000 = -1 · 28 · 311 · 59 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 13- 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152833,23106037] |
[a1,a2,a3,a4,a6] |
j |
-789601498112/2302911 |
j-invariant |
L |
1.9591454177006 |
L(r)(E,1)/r! |
Ω |
0.48978635442516 |
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 |
15600x1 62400dj1 23400v1 7800j1 |
Quadratic twists by: -4 8 -3 5 |