Atkin-Lehner |
2+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050j |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
21097000 = 23 · 53 · 172 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- -3 -1 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71,-62] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:6:1] [-2:9:1] |
Generators of the group modulo torsion |
j |
310288733/168776 |
j-invariant |
L |
7.960656505877 |
L(r)(E,1)/r! |
Ω |
1.7576215774192 |
Real period |
R |
1.1323052425156 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050bl1 |
Quadratic twists by: 5 |