Atkin-Lehner |
2+ 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
34170j |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-233897208053760 = -1 · 228 · 32 · 5 · 172 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,12691,-487384] |
[a1,a2,a3,a4,a6] |
j |
226079110470754871/233897208053760 |
j-invariant |
L |
2.4192218320358 |
L(r)(E,1)/r! |
Ω |
0.30240272900475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102510y1 |
Quadratic twists by: -3 |