Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842j |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-429770687222128 = -1 · 24 · 73 · 238 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-113482,-14757396] |
[a1,a2,a3,a4,a6] |
Generators |
[412:2703:1] |
Generators of the group modulo torsion |
j |
-3183010111/8464 |
j-invariant |
L |
1.7021910910857 |
L(r)(E,1)/r! |
Ω |
0.1300376456943 |
Real period |
R |
3.2724967489378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51842f1 2254e1 |
Quadratic twists by: -7 -23 |