Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
14608d |
Isogeny class |
Conductor |
14608 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-28959834112 = -1 · 218 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 2 0 1 11- 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87208,9941616] |
[a1,a2,a3,a4,a6] |
Generators |
[162:198:1] |
Generators of the group modulo torsion |
j |
-17907613978515625/7070272 |
j-invariant |
L |
7.1896797050192 |
L(r)(E,1)/r! |
Ω |
0.95739266373579 |
Real period |
R |
1.2516076174647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1826a2 58432m2 |
Quadratic twists by: -4 8 |