Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gv |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
236957413356339200 = 225 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336140,-71261680] |
[a1,a2,a3,a4,a6] |
Generators |
[-6637636:6104776:24389] |
Generators of the group modulo torsion |
j |
2268945/128 |
j-invariant |
L |
4.7225604676803 |
L(r)(E,1)/r! |
Ω |
0.1989734018413 |
Real period |
R |
11.867315984776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400s1 19600ca1 78400kb1 78400fw1 |
Quadratic twists by: -4 8 5 -7 |