Atkin-Lehner |
2- 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350q |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-490880000000 = -1 · 213 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-813,34531] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:-188:1] [-250:1521:8] |
Generators of the group modulo torsion |
j |
-3803721481/31416320 |
j-invariant |
L |
9.8983915270399 |
L(r)(E,1)/r! |
Ω |
0.79817537604373 |
Real period |
R |
0.23848603818852 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7670d1 |
Quadratic twists by: 5 |