Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310br |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2095295916170925000 = 23 · 320 · 55 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15617633,-23751862423] |
[a1,a2,a3,a4,a6] |
Generators |
[38721:7558594:1] |
Generators of the group modulo torsion |
j |
577885499337127679710921/2874205646325000 |
j-invariant |
L |
9.5061738461436 |
L(r)(E,1)/r! |
Ω |
0.075944422361261 |
Real period |
R |
5.2155321563675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770g2 |
Quadratic twists by: -3 |