Atkin-Lehner |
2- 3+ 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
73944l |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
75520 |
Modular degree for the optimal curve |
Δ |
1621950400512 = 211 · 33 · 135 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 -3 2 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3195,32822] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:198:1] |
Generators of the group modulo torsion |
j |
65229279750/29332147 |
j-invariant |
L |
5.3826875927536 |
L(r)(E,1)/r! |
Ω |
0.7572261525234 |
Real period |
R |
3.5542140052125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998697 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73944a1 |
Quadratic twists by: -3 |