Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
116800cc |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-2990080000000000 = -1 · 222 · 510 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -5 4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40833,4110463] |
[a1,a2,a3,a4,a6] |
j |
-2941225/1168 |
j-invariant |
L |
0.84631681717913 |
L(r)(E,1)/r! |
Ω |
0.42315797401741 |
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 |
116800i1 29200o1 116800cz1 |
Quadratic twists by: -4 8 5 |