Atkin-Lehner |
2+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31280d |
Isogeny class |
Conductor |
31280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24320 |
Modular degree for the optimal curve |
Δ |
-2658800 = -1 · 24 · 52 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 6 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8296,-293621] |
[a1,a2,a3,a4,a6] |
j |
-3946956213086464/166175 |
j-invariant |
L |
1.000479054706 |
L(r)(E,1)/r! |
Ω |
0.25011976367727 |
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 |
15640b1 125120cx1 |
Quadratic twists by: -4 8 |