Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850bo |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.8165253846052E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2384667,-2492177009] |
[a1,a2,a3,a4,a6] |
Generators |
[15982:205759:8] |
Generators of the group modulo torsion |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
3.7860311404274 |
L(r)(E,1)/r! |
Ω |
0.058063102013317 |
Real period |
R |
2.7168940695124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950bu1 11970ck1 |
Quadratic twists by: -3 5 |