Atkin-Lehner |
2- 3+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bp |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5472672657408 = 212 · 310 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16848,839808] |
[a1,a2,a3,a4,a6] |
Generators |
[82:54:1] |
Generators of the group modulo torsion |
j |
97018944875/1003833 |
j-invariant |
L |
5.0263391129414 |
L(r)(E,1)/r! |
Ω |
0.76551976233728 |
Real period |
R |
3.2829584371576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6171c2 98736bl2 |
Quadratic twists by: -4 -11 |