Atkin-Lehner |
3- 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33915n |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
306720 |
Modular degree for the optimal curve |
Δ |
-4866709763671875 = -1 · 33 · 59 · 75 · 172 · 19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,33574,-2367679] |
[a1,a2,a3,a4,a6] |
j |
4185236795823558656/4866709763671875 |
j-invariant |
L |
6.984584793287 |
L(r)(E,1)/r! |
Ω |
0.23281949310906 |
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 |
101745bh1 |
Quadratic twists by: -3 |