Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bd |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1552320 |
Modular degree for the optimal curve |
Δ |
-61971610750000000 = -1 · 27 · 59 · 78 · 43 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -4 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-267076,-54480702] |
[a1,a2,a3,a4,a6] |
Generators |
[886:19671:1] |
Generators of the group modulo torsion |
j |
-187116293/5504 |
j-invariant |
L |
2.8200464026361 |
L(r)(E,1)/r! |
Ω |
0.10482344780669 |
Real period |
R |
4.4838034527797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999269113 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350dc1 105350bs1 |
Quadratic twists by: 5 -7 |