Atkin-Lehner |
2- 3+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130x |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8476920902839125000 = 23 · 3 · 56 · 113 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-61484986,185541749183] |
[a1,a2,a3,a4,a6] |
Generators |
[5227:81073:1] |
Generators of the group modulo torsion |
j |
546398303575251662569/180184125000 |
j-invariant |
L |
7.830910094075 |
L(r)(E,1)/r! |
Ω |
0.18734131768822 |
Real period |
R |
6.9667048428716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000131305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270g4 |
Quadratic twists by: -19 |