Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ds |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-3861083559768750000 = -1 · 24 · 37 · 58 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 -1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800750,-934889375] |
[a1,a2,a3,a4,a6] |
j |
-501760/3 |
j-invariant |
L |
0.26056195599482 |
L(r)(E,1)/r! |
Ω |
0.065140485615044 |
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 |
29400en1 88200gl1 88200df1 |
Quadratic twists by: -3 5 -7 |