Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33440ba |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
8736200000 = 26 · 55 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11- -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4097,100836] |
[a1,a2,a3,a4,a6] |
Generators |
[47:110:1] [-28:440:1] |
Generators of the group modulo torsion |
j |
118834250122944/136503125 |
j-invariant |
L |
7.9503719094052 |
L(r)(E,1)/r! |
Ω |
1.2989529816418 |
Real period |
R |
0.61206002232326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440m1 66880d2 |
Quadratic twists by: -4 8 |