Atkin-Lehner |
2- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
73696o |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-158541910016 = -1 · 212 · 77 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -3 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2417,50401] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:196:1] [5:196:1] |
Generators of the group modulo torsion |
j |
-3241792/329 |
j-invariant |
L |
6.751433655354 |
L(r)(E,1)/r! |
Ω |
0.99843100596322 |
Real period |
R |
0.42262770380422 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73696k1 10528g1 |
Quadratic twists by: -4 -7 |