Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
15300l |
Isogeny class |
Conductor |
15300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-918000 = -1 · 24 · 33 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -3 -6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45,125] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:15:1] [1:9:1] |
Generators of the group modulo torsion |
j |
-186624/17 |
j-invariant |
L |
6.3257439913071 |
L(r)(E,1)/r! |
Ω |
2.7340481341286 |
Real period |
R |
0.1928076269136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61200ej1 15300j1 15300i1 |
Quadratic twists by: -4 -3 5 |