Atkin-Lehner |
2+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
10712a |
Isogeny class |
Conductor |
10712 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
2742272 = 211 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 0 0 1 3 13- -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[6:2:1] |
Generators of the group modulo torsion |
j |
2315250/1339 |
j-invariant |
L |
4.5948906518475 |
L(r)(E,1)/r! |
Ω |
2.1489878231809 |
Real period |
R |
2.1381650478811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21424b1 85696k1 96408r1 |
Quadratic twists by: -4 8 -3 |