Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920hu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
17217816000 = 26 · 3 · 53 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24540,-1487850] |
[a1,a2,a3,a4,a6] |
Generators |
[1450:1815:8] |
Generators of the group modulo torsion |
j |
25537895799171904/269028375 |
j-invariant |
L |
8.0591492947552 |
L(r)(E,1)/r! |
Ω |
0.38144305744489 |
Real period |
R |
3.5213422369769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920fv1 36960d4 |
Quadratic twists by: -4 8 |