Atkin-Lehner |
2- 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
21012g |
Isogeny class |
Conductor |
21012 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
11040 |
Modular degree for the optimal curve |
Δ |
-1851745536 = -1 · 28 · 35 · 172 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -2 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,188,-1756] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] [20:102:1] |
Generators of the group modulo torsion |
j |
2855256752/7233381 |
j-invariant |
L |
7.1477679515608 |
L(r)(E,1)/r! |
Ω |
0.76528007717606 |
Real period |
R |
0.31133559963806 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84048l1 63036i1 |
Quadratic twists by: -4 -3 |