Atkin-Lehner |
2- 5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
51100s |
Isogeny class |
Conductor |
51100 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
269568 |
Modular degree for the optimal curve |
Δ |
-6881419894496000 = -1 · 28 · 53 · 79 · 732 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 1 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166293,26349143] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:7154:1] |
Generators of the group modulo torsion |
j |
-15892720664969216/215044371703 |
j-invariant |
L |
7.099995799839 |
L(r)(E,1)/r! |
Ω |
0.42185570112145 |
Real period |
R |
0.15583694063071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51100n1 |
Quadratic twists by: 5 |