Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98208k |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13721921883648 = -1 · 29 · 310 · 114 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,-178234] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2574:1] |
Generators of the group modulo torsion |
j |
-7301384/36763551 |
j-invariant |
L |
6.4910971088139 |
L(r)(E,1)/r! |
Ω |
0.32069619938827 |
Real period |
R |
2.5300803089159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98208h2 32736g2 |
Quadratic twists by: -4 -3 |