Atkin-Lehner |
2+ 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3762c |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6977023737977304 = -1 · 23 · 37 · 115 · 195 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11+ 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-110565,14737869] |
[a1,a2,a3,a4,a6] |
j |
-205046048384508241/9570677281176 |
j-invariant |
L |
0.83161974949345 |
L(r)(E,1)/r! |
Ω |
0.41580987474673 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30096bj2 120384br2 1254k2 94050cr2 |
Quadratic twists by: -4 8 -3 5 |