Atkin-Lehner |
2- 3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910ba |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
1038173745473460000 = 25 · 314 · 54 · 173 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7528523,7952566331] |
[a1,a2,a3,a4,a6] |
Generators |
[1285:19332:1] |
Generators of the group modulo torsion |
j |
64732961216038350067561/1424106646740000 |
j-invariant |
L |
10.526502709533 |
L(r)(E,1)/r! |
Ω |
0.25577012447146 |
Real period |
R |
0.68593512310461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000556 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970h2 |
Quadratic twists by: -3 |