Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121104cc |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
723229212672 = 217 · 38 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -4 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35931,2621194] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-288:1] |
Generators of the group modulo torsion |
j |
2042904913/288 |
j-invariant |
L |
4.5503495845858 |
L(r)(E,1)/r! |
Ω |
0.87058995664327 |
Real period |
R |
0.65334282411617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999499422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15138y1 40368bi1 121104cu1 |
Quadratic twists by: -4 -3 29 |