Atkin-Lehner |
3+ 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6903b |
Isogeny class |
Conductor |
6903 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1088 |
Modular degree for the optimal curve |
Δ |
20709 = 33 · 13 · 59 |
Discriminant |
Eigenvalues |
-2 3+ -3 -4 -2 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] [-1:0:1] |
Generators of the group modulo torsion |
j |
2985984/767 |
j-invariant |
L |
2.3808262366336 |
L(r)(E,1)/r! |
Ω |
2.8086735287304 |
Real period |
R |
0.42383463444143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448bd1 6903d1 89739d1 |
Quadratic twists by: -4 -3 13 |