Atkin-Lehner |
2- 5- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50350o |
Isogeny class |
Conductor |
50350 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
644480000 = 210 · 54 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 0 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-280,-1253] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:25:1] [-7:21:1] |
Generators of the group modulo torsion |
j |
3871353825/1031168 |
j-invariant |
L |
12.340699620698 |
L(r)(E,1)/r! |
Ω |
1.1906219992955 |
Real period |
R |
0.34549727307795 |
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 |
50350a1 |
Quadratic twists by: 5 |