Atkin-Lehner |
2- 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
123370m |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33675264 |
Modular degree for the optimal curve |
Δ |
3.9311210566316E+19 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2363941161,44238579532991] |
[a1,a2,a3,a4,a6] |
j |
302672933732543273052842521/8144347656250 |
j-invariant |
L |
5.3836861951976 |
L(r)(E,1)/r! |
Ω |
0.10767374301411 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9490d1 |
Quadratic twists by: 13 |