Atkin-Lehner |
2+ 5- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
62050k |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19872 |
Modular degree for the optimal curve |
Δ |
-79424000 = -1 · 29 · 53 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-907,-10299] |
[a1,a2,a3,a4,a6] |
Generators |
[79:598:1] |
Generators of the group modulo torsion |
j |
-660548744829/635392 |
j-invariant |
L |
3.2716468252616 |
L(r)(E,1)/r! |
Ω |
0.43493088103739 |
Real period |
R |
3.761111210881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62050bj1 |
Quadratic twists by: 5 |