Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200fk |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-1157842633500000000 = -1 · 28 · 39 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165375,57881250] |
[a1,a2,a3,a4,a6] |
j |
-432 |
j-invariant |
L |
1.9454179529536 |
L(r)(E,1)/r! |
Ω |
0.24317723565936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200bb1 88200bc1 1800p1 |
Quadratic twists by: -3 5 -7 |