Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
110352bh |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-12420989347252992 = -1 · 28 · 3 · 119 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,41947,4207161] |
[a1,a2,a3,a4,a6] |
Generators |
[1357:50578:1] [445:10526:1] |
Generators of the group modulo torsion |
j |
17997824000/27387987 |
j-invariant |
L |
10.622627982473 |
L(r)(E,1)/r! |
Ω |
0.27212743479428 |
Real period |
R |
1.6264787840411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27588e2 10032j2 |
Quadratic twists by: -4 -11 |