Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600dz |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
-1607691607500000000 = -1 · 28 · 3 · 510 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100833,62202963] |
[a1,a2,a3,a4,a6] |
j |
-25600/363 |
j-invariant |
L |
0.90396991771114 |
L(r)(E,1)/r! |
Ω |
0.22599248199918 |
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 |
72600x1 6600k1 |
Quadratic twists by: 5 -11 |