Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640s |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-752896984913920000 = -1 · 214 · 54 · 73 · 118 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,207748,-20358896] |
[a1,a2,a3,a4,a6] |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
1.2706293697572 |
L(r)(E,1)/r! |
Ω |
0.15882867121967 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24640bu1 3080c1 123200bh1 |
Quadratic twists by: -4 8 5 |