Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1960c |
Isogeny class |
Conductor |
1960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
-807072140000000 = -1 · 28 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 -1 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10519,-1298725] |
[a1,a2,a3,a4,a6] |
j |
12459008/78125 |
j-invariant |
L |
2.0096316537179 |
L(r)(E,1)/r! |
Ω |
0.25120395671474 |
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 |
3920e1 15680bq1 17640cr1 9800bd1 |
Quadratic twists by: -4 8 -3 5 |