Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3762h |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-901337994858312 = -1 · 23 · 310 · 114 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22914,545724] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:453:1] |
Generators of the group modulo torsion |
j |
1825106655603743/1236403285128 |
j-invariant |
L |
2.7001652212411 |
L(r)(E,1)/r! |
Ω |
0.3136170308496 |
Real period |
R |
1.0762191445432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30096bb3 120384bc3 1254i4 94050dd3 |
Quadratic twists by: -4 8 -3 5 |