Atkin-Lehner |
3+ 5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
38325a |
Isogeny class |
Conductor |
38325 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
-3126617157825 = -1 · 38 · 52 · 72 · 733 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 3 -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1533,87516] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:68:1] [24:-268:1] |
Generators of the group modulo torsion |
j |
-15937781699065/125064686313 |
j-invariant |
L |
4.8088379647333 |
L(r)(E,1)/r! |
Ω |
0.6848714229924 |
Real period |
R |
0.5851266144384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975s1 38325q1 |
Quadratic twists by: -3 5 |