Atkin-Lehner |
2+ 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410c |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1300062962026101600 = 25 · 311 · 52 · 192 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-283455,19166125] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:7145:1] |
Generators of the group modulo torsion |
j |
3455010821839204081/1783351113890400 |
j-invariant |
L |
6.0167234620972 |
L(r)(E,1)/r! |
Ω |
0.23934425980752 |
Real period |
R |
3.1422956729737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010875 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470be2 |
Quadratic twists by: -3 |