Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67896f |
Isogeny class |
Conductor |
67896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5015635627783523328 = 210 · 39 · 236 · 412 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 4 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8677803,9838678070] |
[a1,a2,a3,a4,a6] |
Generators |
[451055:19964916:125] |
Generators of the group modulo torsion |
j |
96811196432755831204/6718904894043 |
j-invariant |
L |
8.3296667774921 |
L(r)(E,1)/r! |
Ω |
0.2307613739871 |
Real period |
R |
9.0241129104435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22632a2 |
Quadratic twists by: -3 |