Atkin-Lehner |
2- 3- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ek |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-18273434760 = -1 · 23 · 38 · 5 · 74 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,652,-1249] |
[a1,a2,a3,a4,a6] |
Generators |
[3:25:1] |
Generators of the group modulo torsion |
j |
17537639/10440 |
j-invariant |
L |
9.9560884238647 |
L(r)(E,1)/r! |
Ω |
0.71608072212798 |
Real period |
R |
1.1586319845604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630br1 127890fy1 |
Quadratic twists by: -3 -7 |