Atkin-Lehner |
2+ 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50350c |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-31468750 = -1 · 2 · 56 · 19 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5+ 1 -2 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-301,1998] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:66:1] [2:36:1] |
Generators of the group modulo torsion |
j |
-192100033/2014 |
j-invariant |
L |
5.0689885253488 |
L(r)(E,1)/r! |
Ω |
2.0925299303258 |
Real period |
R |
0.60560525943814 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2014c1 |
Quadratic twists by: 5 |