Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bb |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-6080832 = -1 · 26 · 35 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -1 7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108,-486] |
[a1,a2,a3,a4,a6] |
j |
-2197000000/95013 |
j-invariant |
L |
3.6902158395862 |
L(r)(E,1)/r! |
Ω |
0.73804316552175 |
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 |
75072j1 37536a1 |
Quadratic twists by: -4 8 |