Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6498j |
Isogeny class |
Conductor |
6498 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-5213059981848 = -1 · 23 · 36 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 6 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50427,4372573] |
[a1,a2,a3,a4,a6] |
Generators |
[81:862:1] |
Generators of the group modulo torsion |
j |
-413493625/152 |
j-invariant |
L |
2.9657956427849 |
L(r)(E,1)/r! |
Ω |
0.75126106916058 |
Real period |
R |
0.98693908300703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51984ci1 722e1 342a1 |
Quadratic twists by: -4 -3 -19 |