Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610bx |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-1141468312509720 = -1 · 23 · 32 · 5 · 1310 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -4 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-429010,-108346633] |
[a1,a2,a3,a4,a6] |
Generators |
[11772576680:219660539223:12487168] |
Generators of the group modulo torsion |
j |
-63342106009/8280 |
j-invariant |
L |
9.8106305098225 |
L(r)(E,1)/r! |
Ω |
0.093271571463013 |
Real period |
R |
17.530583566659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610b1 |
Quadratic twists by: 13 |