Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22200h |
Isogeny class |
Conductor |
22200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-499500000000000 = -1 · 211 · 33 · 512 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 3 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8408,1112688] |
[a1,a2,a3,a4,a6] |
j |
-2054487458/15609375 |
j-invariant |
L |
2.6944452492109 |
L(r)(E,1)/r! |
Ω |
0.44907420820182 |
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 |
44400e1 66600bn1 4440f1 |
Quadratic twists by: -4 -3 5 |