Atkin-Lehner |
2+ 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650d |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4646400 |
Modular degree for the optimal curve |
Δ |
1743071121562500 = 22 · 311 · 57 · 23 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10609750,13297240000] |
[a1,a2,a3,a4,a6] |
Generators |
[1875:-550:1] |
Generators of the group modulo torsion |
j |
8453162193282558315361/111556551780 |
j-invariant |
L |
3.2477551331893 |
L(r)(E,1)/r! |
Ω |
0.33351777250517 |
Real period |
R |
2.434469337304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999099386 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25530bn1 |
Quadratic twists by: 5 |