Atkin-Lehner |
2+ 3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
109494y |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
7846735970304 = 216 · 39 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31563,-2146235] |
[a1,a2,a3,a4,a6] |
Generators |
[255:2390:1] |
Generators of the group modulo torsion |
j |
4770223741048753/10763698176 |
j-invariant |
L |
4.2117351529737 |
L(r)(E,1)/r! |
Ω |
0.3582310470692 |
Real period |
R |
5.8785177707855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36498bg1 |
Quadratic twists by: -3 |