Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158ba |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-26176464 = -1 · 24 · 32 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -1 -3 -1 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-91,377] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-18:1] [-26:213:8] |
Generators of the group modulo torsion |
j |
-16974593/5328 |
j-invariant |
L |
11.163668445479 |
L(r)(E,1)/r! |
Ω |
2.0007668822753 |
Real period |
R |
0.34873092114027 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64158bo1 |
Quadratic twists by: 17 |