Atkin-Lehner |
2+ 5+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118490b |
Isogeny class |
Conductor |
118490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33984 |
Modular degree for the optimal curve |
Δ |
-14811250 = -1 · 2 · 54 · 172 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 2 3 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49,222] |
[a1,a2,a3,a4,a6] |
Generators |
[6:9:1] |
Generators of the group modulo torsion |
j |
-43713001/51250 |
j-invariant |
L |
2.4989713985366 |
L(r)(E,1)/r! |
Ω |
2.0094633524249 |
Real period |
R |
0.62180070018003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998378883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118490l1 |
Quadratic twists by: 17 |