Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350j |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
555265632320000000 = 212 · 57 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1908167,1014391741] |
[a1,a2,a3,a4,a6] |
Generators |
[-1391:31933:1] |
Generators of the group modulo torsion |
j |
417988868898609/302059520 |
j-invariant |
L |
4.3465784949334 |
L(r)(E,1)/r! |
Ω |
0.28908648595915 |
Real period |
R |
3.7588911481486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999136067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21070z1 15050e1 |
Quadratic twists by: 5 -7 |