Atkin-Lehner |
2- 3+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
61008i |
Isogeny class |
Conductor |
61008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1891248 = -1 · 24 · 3 · 312 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -4 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,0] |
[a1,a2,a3,a4,a6] |
Generators |
[496:11036:1] |
Generators of the group modulo torsion |
j |
199344128/118203 |
j-invariant |
L |
3.6075205329955 |
L(r)(E,1)/r! |
Ω |
1.6054410268577 |
Real period |
R |
4.4941177818781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15252d1 |
Quadratic twists by: -4 |