Atkin-Lehner |
2- 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10656l |
Isogeny class |
Conductor |
10656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
110481408 = 212 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 1 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120,16] |
[a1,a2,a3,a4,a6] |
Generators |
[0:4:1] |
Generators of the group modulo torsion |
j |
64000/37 |
j-invariant |
L |
4.3261560753744 |
L(r)(E,1)/r! |
Ω |
1.591165724571 |
Real period |
R |
1.3594297591286 |
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 |
10656k1 21312ca1 1184b1 |
Quadratic twists by: -4 8 -3 |