Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330br |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-230009706000 = -1 · 24 · 36 · 53 · 193 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -3 -7 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,202,22997] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-179:1] |
Generators of the group modulo torsion |
j |
1256216039/315514000 |
j-invariant |
L |
5.4946487356259 |
L(r)(E,1)/r! |
Ω |
0.76822392717155 |
Real period |
R |
0.29801687921993 |
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 |
4370a1 |
Quadratic twists by: -3 |