Atkin-Lehner |
2- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29600o |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-1480000000000 = -1 · 212 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -2 -4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,59537] |
[a1,a2,a3,a4,a6] |
j |
-1600/37 |
j-invariant |
L |
1.4260865819257 |
L(r)(E,1)/r! |
Ω |
0.71304329096326 |
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 |
29600p1 59200df1 29600n1 |
Quadratic twists by: -4 8 5 |