Atkin-Lehner |
3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115d |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-92076882975 = -1 · 33 · 52 · 7 · 117 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-14594] |
[a1,a2,a3,a4,a6] |
Generators |
[40:197:1] |
Generators of the group modulo torsion |
j |
-27/1925 |
j-invariant |
L |
2.6295677305096 |
L(r)(E,1)/r! |
Ω |
0.48934523427052 |
Real period |
R |
2.6868226625612 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38115h1 3465a1 |
Quadratic twists by: -3 -11 |