Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600x |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
98560 |
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 |
2.6555951082407 |
L(r)(E,1)/r! |
Ω |
0.1207088685564 |
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 |
7800s1 62400fl1 46800bq1 15600k1 |
Quadratic twists by: -4 8 -3 5 |