Atkin-Lehner |
3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405t |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
255970125 = 36 · 53 · 532 |
Discriminant |
Eigenvalues |
2 3- 5- 2 0 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-477,3935] |
[a1,a2,a3,a4,a6] |
Generators |
[114:41:8] |
Generators of the group modulo torsion |
j |
5861376/125 |
j-invariant |
L |
16.793564908829 |
L(r)(E,1)/r! |
Ω |
1.7483859395888 |
Real period |
R |
1.600863615919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000169825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14045a1 126405r1 |
Quadratic twists by: -3 53 |