Atkin-Lehner |
2- 5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12410k |
Isogeny class |
Conductor |
12410 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
13502080 = 27 · 5 · 172 · 73 |
Discriminant |
Eigenvalues |
2- -1 5+ -5 3 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-876,9613] |
[a1,a2,a3,a4,a6] |
Generators |
[19:7:1] |
Generators of the group modulo torsion |
j |
74347610643649/13502080 |
j-invariant |
L |
4.2142134106537 |
L(r)(E,1)/r! |
Ω |
2.1678210745218 |
Real period |
R |
0.13885612938998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280l1 111690ba1 62050f1 |
Quadratic twists by: -4 -3 5 |