Atkin-Lehner |
2+ 3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270u |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
-2792487976105162500 = -1 · 22 · 33 · 55 · 1111 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 5 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,38596,80349806] |
[a1,a2,a3,a4,a6] |
Generators |
[-375:3817:1] |
Generators of the group modulo torsion |
j |
3589307525231/1576286662500 |
j-invariant |
L |
7.3722908314597 |
L(r)(E,1)/r! |
Ω |
0.19818231310884 |
Real period |
R |
3.0999616363663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570z1 |
Quadratic twists by: -11 |