Atkin-Lehner |
2- 3+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98394bh |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
184927946057729136 = 24 · 32 · 2310 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12600262,-17220651949] |
[a1,a2,a3,a4,a6] |
Generators |
[551588065:-699754246899:343] |
Generators of the group modulo torsion |
j |
1494498298577365297/1249210224 |
j-invariant |
L |
11.323460940768 |
L(r)(E,1)/r! |
Ω |
0.080131760141644 |
Real period |
R |
17.663815387165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4278n3 |
Quadratic twists by: -23 |