Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bl |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1191139052400000000 = 210 · 38 · 58 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280443,22590758] |
[a1,a2,a3,a4,a6] |
Generators |
[59:2500:1] |
Generators of the group modulo torsion |
j |
3267608672014564/1595640234375 |
j-invariant |
L |
3.8928788703216 |
L(r)(E,1)/r! |
Ω |
0.24318683628025 |
Real period |
R |
2.0009711981242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074608 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920l4 |
Quadratic twists by: -3 |