Atkin-Lehner |
2- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49588d |
Isogeny class |
Conductor |
49588 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
437760 |
Modular degree for the optimal curve |
Δ |
-71833801985470448 = -1 · 24 · 78 · 112 · 235 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11+ -3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179454,31915925] |
[a1,a2,a3,a4,a6] |
Generators |
[1850:13475:8] |
Generators of the group modulo torsion |
j |
-339529363149568/38161077647 |
j-invariant |
L |
5.3074392039384 |
L(r)(E,1)/r! |
Ω |
0.33646602746345 |
Real period |
R |
3.9435178968713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7084a1 |
Quadratic twists by: -7 |