Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114800bf |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
102961250000 = 24 · 57 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,-22125] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:28:1] |
Generators of the group modulo torsion |
j |
2173353984/411845 |
j-invariant |
L |
3.9299221222134 |
L(r)(E,1)/r! |
Ω |
0.75327633872828 |
Real period |
R |
2.6085527487202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28700c1 22960l1 |
Quadratic twists by: -4 5 |