Atkin-Lehner |
5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675n |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
537950677163187925 = 52 · 74 · 135 · 176 |
Discriminant |
Eigenvalues |
-2 -3 5+ 7- 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1350775,-603227034] |
[a1,a2,a3,a4,a6] |
Generators |
[-669:-1012:1] |
Generators of the group modulo torsion |
j |
10902666957358993920000/21518027086527517 |
j-invariant |
L |
1.5879774285594 |
L(r)(E,1)/r! |
Ω |
0.14005715305132 |
Real period |
R |
0.47241947125551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38675t1 |
Quadratic twists by: 5 |