Atkin-Lehner |
2- 3- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
70452f |
Isogeny class |
Conductor |
70452 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
575232 |
Modular degree for the optimal curve |
Δ |
-179925662334456576 = -1 · 28 · 320 · 19 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 -5 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,120408,-12564812] |
[a1,a2,a3,a4,a6] |
Generators |
[23442:1277509:8] |
Generators of the group modulo torsion |
j |
1034480352567296/964107844299 |
j-invariant |
L |
4.9852702852353 |
L(r)(E,1)/r! |
Ω |
0.17530377858811 |
Real period |
R |
7.1094735179665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23484c1 |
Quadratic twists by: -3 |