Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115o |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-37291137604875 = -1 · 37 · 53 · 7 · 117 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,293818] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:544:1] |
Generators of the group modulo torsion |
j |
-4096/28875 |
j-invariant |
L |
2.4508390928093 |
L(r)(E,1)/r! |
Ω |
0.52026292858567 |
Real period |
R |
0.29442313661898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12705f1 3465m1 |
Quadratic twists by: -3 -11 |