Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800by |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-880865280000 = -1 · 215 · 36 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -1 -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668408,-210111888] |
[a1,a2,a3,a4,a6] |
j |
-12900582314233225/344088 |
j-invariant |
L |
0.33394047844385 |
L(r)(E,1)/r! |
Ω |
0.083485123579662 |
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 |
8850n1 70800cl1 |
Quadratic twists by: -4 5 |