Atkin-Lehner |
5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
50575bd |
Isogeny class |
Conductor |
50575 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
235008 |
Modular degree for the optimal curve |
Δ |
2093599201980125 = 53 · 74 · 178 |
Discriminant |
Eigenvalues |
0 2 5- 7+ 1 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-32753,610258] |
[a1,a2,a3,a4,a6] |
Generators |
[-4326:35389:27] |
Generators of the group modulo torsion |
j |
4456448/2401 |
j-invariant |
L |
6.0143331358186 |
L(r)(E,1)/r! |
Ω |
0.40560642844137 |
Real period |
R |
1.2356668751786 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50575bi1 50575bf1 |
Quadratic twists by: 5 17 |