Atkin-Lehner |
2- 5- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20930j |
Isogeny class |
Conductor |
20930 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
6739460 = 22 · 5 · 72 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-712,-7129] |
[a1,a2,a3,a4,a6] |
Generators |
[1385:50827:1] |
Generators of the group modulo torsion |
j |
39864996115281/6739460 |
j-invariant |
L |
8.0548078252783 |
L(r)(E,1)/r! |
Ω |
0.92433974189237 |
Real period |
R |
4.3570602129407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650l1 |
Quadratic twists by: 5 |