Atkin-Lehner |
2+ 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
21424b |
Isogeny class |
Conductor |
21424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
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 |
[-2:8:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
2315250/1339 |
j-invariant |
L |
7.1254400133586 |
L(r)(E,1)/r! |
Ω |
2.1632648358937 |
Real period |
R |
1.6469180969269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10712a1 85696bg1 |
Quadratic twists by: -4 8 |