Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ie |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
2688 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-3.2240253028284E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2023288,1140752192] |
[a1,a2,a3,a4,a6] |
Generators |
[-568:-45616:1] |
Generators of the group modulo torsion |
j |
-170915990723796079/6015674034432 |
j-invariant |
L |
13.69959189955 |
L(r)(E,1)/r! |
Ω |
0.20668478416382 |
Real period |
R |
0.098634727559858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4998e1 124950ez1 |
Quadratic twists by: 5 -7 |