Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ff |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-529200000000 = -1 · 210 · 33 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7875,-271250] |
[a1,a2,a3,a4,a6] |
j |
-102060 |
j-invariant |
L |
3.0390259746578 |
L(r)(E,1)/r! |
Ω |
0.25325216700375 |
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 |
88200y1 88200i1 88200fd1 |
Quadratic twists by: -3 5 -7 |