Atkin-Lehner |
2+ 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
88800w |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-532800000000 = -1 · 212 · 32 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 6 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64833,6332463] |
[a1,a2,a3,a4,a6] |
Generators |
[147:12:1] |
Generators of the group modulo torsion |
j |
-18836438080/333 |
j-invariant |
L |
8.6648874977833 |
L(r)(E,1)/r! |
Ω |
0.85002260910589 |
Real period |
R |
1.2742142685022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001392 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88800i1 88800bj1 |
Quadratic twists by: -4 5 |