Atkin-Lehner |
5- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17765f |
Isogeny class |
Conductor |
17765 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-13315554283796875 = -1 · 56 · 113 · 173 · 194 |
Discriminant |
Eigenvalues |
0 -2 5- -1 11- -4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-38765,6268269] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2422:1] |
Generators of the group modulo torsion |
j |
-6442497819862368256/13315554283796875 |
j-invariant |
L |
2.3140948240052 |
L(r)(E,1)/r! |
Ω |
0.35403162990287 |
Real period |
R |
0.27235029167687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
88825k1 |
Quadratic twists by: 5 |