Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62920s |
Isogeny class |
Conductor |
62920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
10067200 = 28 · 52 · 112 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 11- 13- -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-876,10276] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-10:1] [-14:140:1] |
Generators of the group modulo torsion |
j |
2402737744/325 |
j-invariant |
L |
7.4040450037146 |
L(r)(E,1)/r! |
Ω |
2.2087732268851 |
Real period |
R |
0.41901342075269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125840k1 62920b1 |
Quadratic twists by: -4 -11 |