Atkin-Lehner |
2+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38350f |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-31416320000000 = -1 · 219 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 0 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3742401,2786280948] |
[a1,a2,a3,a4,a6] |
Generators |
[1518:23814:1] |
Generators of the group modulo torsion |
j |
-370983403154885372929/2010644480 |
j-invariant |
L |
5.8121331611748 |
L(r)(E,1)/r! |
Ω |
0.44814473196407 |
Real period |
R |
6.4846608100244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670f1 |
Quadratic twists by: 5 |