Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24990k |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1179833066924400 = -1 · 24 · 36 · 52 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26288,210736] |
[a1,a2,a3,a4,a6] |
Generators |
[132:2384:1] |
Generators of the group modulo torsion |
j |
17075848639751/10028415600 |
j-invariant |
L |
3.7654381102361 |
L(r)(E,1)/r! |
Ω |
0.2955752157103 |
Real period |
R |
1.5924195898781 |
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 |
74970cu1 124950ia1 3570k1 |
Quadratic twists by: -3 5 -7 |