Atkin-Lehner |
2- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114308g |
Isogeny class |
Conductor |
114308 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-611015581952 = -1 · 28 · 175 · 412 |
Discriminant |
Eigenvalues |
2- 1 4 -3 1 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3676,92452] |
[a1,a2,a3,a4,a6] |
Generators |
[48:170:1] |
Generators of the group modulo torsion |
j |
-12769111504/1419857 |
j-invariant |
L |
10.183512224665 |
L(r)(E,1)/r! |
Ω |
0.89037738101301 |
Real period |
R |
0.76248659337136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999984006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114308d1 |
Quadratic twists by: 41 |