Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800d |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-50884480000000000 = -1 · 216 · 510 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 -1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327500,72950000] |
[a1,a2,a3,a4,a6] |
Generators |
[904:22708:1] |
Generators of the group modulo torsion |
j |
-6069845700/79507 |
j-invariant |
L |
4.3421528951754 |
L(r)(E,1)/r! |
Ω |
0.35713604016141 |
Real period |
R |
6.0791300888193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800df1 8600h1 68800cc1 |
Quadratic twists by: -4 8 5 |