Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400lc |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-6023628800000000 = -1 · 217 · 58 · 76 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 1 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24500,-3430000] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
6.9155259381027 |
L(r)(E,1)/r! |
Ω |
0.2161101850644 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ft1 19600bq1 78400jc1 1600y1 |
Quadratic twists by: -4 8 5 -7 |