Atkin-Lehner |
2+ 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670t |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12966832350 = 2 · 38 · 52 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40635,3162991] |
[a1,a2,a3,a4,a6] |
Generators |
[113:11:1] [-67:2396:1] |
Generators of the group modulo torsion |
j |
10178950159773361/17787150 |
j-invariant |
L |
6.9046508832044 |
L(r)(E,1)/r! |
Ω |
1.0791821740169 |
Real period |
R |
1.5995100391892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890z2 |
Quadratic twists by: -3 |