Atkin-Lehner |
2- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ck |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1365814804480 = 219 · 5 · 75 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 1 -1 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5601,-149375] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:32:1] |
Generators of the group modulo torsion |
j |
74140932601/5210170 |
j-invariant |
L |
3.6474232979996 |
L(r)(E,1)/r! |
Ω |
0.55430047459949 |
Real period |
R |
1.6450569073333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440n1 17360bg1 |
Quadratic twists by: -4 8 |