Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300a |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-418263750000 = -1 · 24 · 39 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -1 0 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,675,-30375] |
[a1,a2,a3,a4,a6] |
j |
6912/85 |
j-invariant |
L |
1.8549545983819 |
L(r)(E,1)/r! |
Ω |
0.46373864959547 |
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 |
61200cy1 15300e1 3060b1 |
Quadratic twists by: -4 -3 5 |