Atkin-Lehner |
2- 3- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944q |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
755712 |
Modular degree for the optimal curve |
Δ |
366629689333007568 = 24 · 324 · 13 · 792 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184350,8915501] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:5688:1] [-98:5103:1] |
Generators of the group modulo torsion |
j |
59402623648000000/31432586534037 |
j-invariant |
L |
10.846161514063 |
L(r)(E,1)/r! |
Ω |
0.26474138605545 |
Real period |
R |
10.24222324644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24648a1 |
Quadratic twists by: -3 |