Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15300bc |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-6022998000 = -1 · 24 · 311 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 -4 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,-4475] |
[a1,a2,a3,a4,a6] |
j |
-3114752/4131 |
j-invariant |
L |
2.1116953152243 |
L(r)(E,1)/r! |
Ω |
0.52792382880609 |
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 |
61200gq1 5100r1 15300bh1 |
Quadratic twists by: -4 -3 5 |