Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544by |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-349780032 = -1 · 26 · 38 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,628] |
[a1,a2,a3,a4,a6] |
Generators |
[418:3105:8] |
Generators of the group modulo torsion |
j |
6644672/7497 |
j-invariant |
L |
8.6750791304635 |
L(r)(E,1)/r! |
Ω |
1.1344373706928 |
Real period |
R |
3.8235161121541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bd1 34272r2 22848bo1 |
Quadratic twists by: -4 8 -3 |