Atkin-Lehner |
2+ 5- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350j |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-191750 = -1 · 2 · 53 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ -1 5- 0 -2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[5:0:1] [9:20:1] |
Generators of the group modulo torsion |
j |
-7645373/1534 |
j-invariant |
L |
5.5508971640766 |
L(r)(E,1)/r! |
Ω |
1.1095651259549 |
Real period |
R |
2.5013841162771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38350bb1 |
Quadratic twists by: 5 |