Atkin-Lehner |
3+ 5- 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725i |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13888 |
Modular degree for the optimal curve |
Δ |
-1510875 = -1 · 32 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3+ 5- 2 0 -4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-73,273] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
-348913664/12087 |
j-invariant |
L |
4.8526851873971 |
L(r)(E,1)/r! |
Ω |
2.6678753190436 |
Real period |
R |
0.45473313135276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100725t1 |
Quadratic twists by: 5 |