Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600bb |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-6023628800 = -1 · 211 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -1 4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,245,-3430] |
[a1,a2,a3,a4,a6] |
j |
270 |
j-invariant |
L |
5.4672032829122 |
L(r)(E,1)/r! |
Ω |
0.68340041036402 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bl1 78400jc1 19600bq1 400h1 |
Quadratic twists by: -4 8 5 -7 |