Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850cv |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-89530093800000000 = -1 · 29 · 311 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39258,-14091084] |
[a1,a2,a3,a4,a6] |
j |
23497109375/314399232 |
j-invariant |
L |
1.3314658577599 |
L(r)(E,1)/r! |
Ω |
0.166433232455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950df1 59850fo1 |
Quadratic twists by: -3 5 |