Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104040w |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7931520 |
Modular degree for the optimal curve |
Δ |
-2.0341308697956E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -5 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6824157,-75001858] |
[a1,a2,a3,a4,a6] |
Generators |
[27232500843602:9066870923250708:576138060161] |
Generators of the group modulo torsion |
j |
3374596798/1953125 |
j-invariant |
L |
3.5975130031853 |
L(r)(E,1)/r! |
Ω |
0.072446054304039 |
Real period |
R |
24.828909163826 |
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 |
11560n1 104040bf1 |
Quadratic twists by: -3 17 |