Atkin-Lehner |
2- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91120h |
Isogeny class |
Conductor |
91120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21760 |
Modular degree for the optimal curve |
Δ |
-116633600 = -1 · 212 · 52 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 1 -6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101,-685] |
[a1,a2,a3,a4,a6] |
Generators |
[14:29:1] [62:485:1] |
Generators of the group modulo torsion |
j |
-28094464/28475 |
j-invariant |
L |
12.055952717866 |
L(r)(E,1)/r! |
Ω |
0.72292167345335 |
Real period |
R |
8.3383533513991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000488 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5695a1 |
Quadratic twists by: -4 |