Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
109200du |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-344962800 = -1 · 24 · 36 · 52 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,142,567] |
[a1,a2,a3,a4,a6] |
Generators |
[58:351:8] |
Generators of the group modulo torsion |
j |
786080000/862407 |
j-invariant |
L |
6.1175906079999 |
L(r)(E,1)/r! |
Ω |
1.1332041374294 |
Real period |
R |
1.3496223746799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999545276 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27300l1 109200he1 |
Quadratic twists by: -4 5 |