Atkin-Lehner |
2- 3+ 7- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778v |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
66304 |
Modular degree for the optimal curve |
Δ |
38685523968 = 214 · 33 · 7 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3974,-94955] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:35:1] |
Generators of the group modulo torsion |
j |
257004707653539/1432797184 |
j-invariant |
L |
11.054635060992 |
L(r)(E,1)/r! |
Ω |
0.60151562574587 |
Real period |
R |
1.31271201657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999958 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50778d1 |
Quadratic twists by: -3 |