Atkin-Lehner |
2- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21904o |
Isogeny class |
Conductor |
21904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
213120 |
Modular degree for the optimal curve |
Δ |
532323286200635392 = 212 · 379 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 -3 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-270149,41182765] |
[a1,a2,a3,a4,a6] |
Generators |
[4116:50653:27] |
Generators of the group modulo torsion |
j |
4096 |
j-invariant |
L |
1.5768779002336 |
L(r)(E,1)/r! |
Ω |
0.27472486638473 |
Real period |
R |
2.8699220441613 |
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 |
1369f1 87616bv1 21904n1 |
Quadratic twists by: -4 8 37 |