Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160cy |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-636518400000 = -1 · 218 · 3 · 55 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 2 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4240,-114412] |
[a1,a2,a3,a4,a6] |
Generators |
[76:90:1] |
Generators of the group modulo torsion |
j |
-2058561081361/155400000 |
j-invariant |
L |
8.1275955083488 |
L(r)(E,1)/r! |
Ω |
0.29453726334685 |
Real period |
R |
2.7594455845039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770q1 |
Quadratic twists by: -4 |