Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312h |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
650706632091648 = 211 · 316 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-167362816899,26353395449053022] |
[a1,a2,a3,a4,a6] |
Generators |
[697875910388193817293469058635117174515074432326439930116259996462006:-15958456009082262524764246135149110297899255260674508245632621967112630:2874776562534104396442352540851692851391936165759620110525525449] |
Generators of the group modulo torsion |
j |
347250725847084265534751416342274/435840669 |
j-invariant |
L |
6.9154246752057 |
L(r)(E,1)/r! |
Ω |
0.065379626288177 |
Real period |
R |
105.77338947648 |
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 |
96624p6 16104g5 |
Quadratic twists by: -4 -3 |