Atkin-Lehner |
11+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67507c |
Isogeny class |
Conductor |
67507 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-1838694167123 = -1 · 112 · 17 · 197 |
Discriminant |
Eigenvalues |
0 1 -2 -2 11+ -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,241,-65144] |
[a1,a2,a3,a4,a6] |
Generators |
[158:1985:1] [5900:453227:1] |
Generators of the group modulo torsion |
j |
32768/39083 |
j-invariant |
L |
7.8581652567338 |
L(r)(E,1)/r! |
Ω |
0.38860638535653 |
Real period |
R |
2.5276750308381 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3553a1 |
Quadratic twists by: -19 |