Atkin-Lehner |
2+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3248b |
Isogeny class |
Conductor |
3248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-248419720192 = -1 · 210 · 73 · 294 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2128,-45468] |
[a1,a2,a3,a4,a6] |
Generators |
[58:172:1] |
Generators of the group modulo torsion |
j |
-1041220466500/242597383 |
j-invariant |
L |
2.3709213710769 |
L(r)(E,1)/r! |
Ω |
0.34715699625069 |
Real period |
R |
3.4147682412898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1624b1 12992bc1 29232f1 81200j1 |
Quadratic twists by: -4 8 -3 5 |