Atkin-Lehner |
2+ 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494l |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-1391502390725440224 = -1 · 25 · 311 · 710 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -1 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,256410,26835732] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:4641:1] |
Generators of the group modulo torsion |
j |
2557408516562259359/1908782428978656 |
j-invariant |
L |
3.9502044828472 |
L(r)(E,1)/r! |
Ω |
0.17255270218446 |
Real period |
R |
1.1446370995025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798806 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498bk1 |
Quadratic twists by: -3 |