Atkin-Lehner |
2- 3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
78390bk |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
52334947862437500 = 22 · 315 · 56 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49127198,132547439697] |
[a1,a2,a3,a4,a6] |
Generators |
[49315519:-16253181:12167] |
Generators of the group modulo torsion |
j |
17987141836955737278558361/71790051937500 |
j-invariant |
L |
9.2589978722439 |
L(r)(E,1)/r! |
Ω |
0.23821425166669 |
Real period |
R |
9.7170906098205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130e2 |
Quadratic twists by: -3 |