Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
6204b |
Isogeny class |
Conductor |
6204 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-105071738112 = -1 · 28 · 38 · 113 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 11+ 1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42732,3414312] |
[a1,a2,a3,a4,a6] |
Generators |
[954:81:8] |
Generators of the group modulo torsion |
j |
-33709597668821968/410436477 |
j-invariant |
L |
3.79122857225 |
L(r)(E,1)/r! |
Ω |
0.96309698484579 |
Real period |
R |
1.9682485938096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24816u1 99264z1 18612k1 68244d1 |
Quadratic twists by: -4 8 -3 -11 |