Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430dl |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-927920816323200 = -1 · 27 · 37 · 52 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22702,-649519] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-2273:1] |
Generators of the group modulo torsion |
j |
307908839/220800 |
j-invariant |
L |
8.887868241468 |
L(r)(E,1)/r! |
Ω |
0.27957380021626 |
Real period |
R |
0.37846162654363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33810bj1 101430fb1 |
Quadratic twists by: -3 -7 |