Atkin-Lehner |
2+ 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
49136a |
Isogeny class |
Conductor |
49136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6272 |
Modular degree for the optimal curve |
Δ |
3144704 = 210 · 37 · 83 |
Discriminant |
Eigenvalues |
2+ -2 1 2 0 5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,36] |
[a1,a2,a3,a4,a6] |
Generators |
[0:6:1] |
Generators of the group modulo torsion |
j |
7086244/3071 |
j-invariant |
L |
5.3632351596564 |
L(r)(E,1)/r! |
Ω |
2.2750175242013 |
Real period |
R |
1.1787239224822 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999471 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24568a1 |
Quadratic twists by: -4 |