Atkin-Lehner |
2- 3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400cj |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
1372651673456250000 = 24 · 37 · 58 · 114 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-310208,-35180463] |
[a1,a2,a3,a4,a6] |
Generators |
[-383:5225:1] |
Generators of the group modulo torsion |
j |
528206907040000/219624267753 |
j-invariant |
L |
7.4721299249779 |
L(r)(E,1)/r! |
Ω |
0.2098794104139 |
Real period |
R |
0.49447243024082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400bj1 |
Quadratic twists by: 5 |