Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304m |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1154048 = -1 · 210 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 6 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113,505] |
[a1,a2,a3,a4,a6] |
Generators |
[8:7:1] |
Generators of the group modulo torsion |
j |
-157216000/1127 |
j-invariant |
L |
4.1293479781136 |
L(r)(E,1)/r! |
Ω |
2.7586965366692 |
Real period |
R |
0.74842374346461 |
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 |
10304r1 1288e1 92736bw1 72128n1 |
Quadratic twists by: -4 8 -3 -7 |