Atkin-Lehner |
2+ 3+ 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778a |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
337374414468 = 22 · 39 · 73 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3066,59840] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:352:1] |
Generators of the group modulo torsion |
j |
161967748851/17140396 |
j-invariant |
L |
4.0847951271858 |
L(r)(E,1)/r! |
Ω |
0.9323866570226 |
Real period |
R |
2.190504924347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778s1 |
Quadratic twists by: -3 |