Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
51975000000 = 26 · 33 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2980,62650] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1450:1] |
Generators of the group modulo torsion |
j |
45744434023744/812109375 |
j-invariant |
L |
5.5949010219845 |
L(r)(E,1)/r! |
Ω |
1.1247761217981 |
Real period |
R |
2.4871176199857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999746 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hn1 36960t3 |
Quadratic twists by: -4 8 |