Atkin-Lehner |
3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
100725l |
Isogeny class |
Conductor |
100725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-944296875 = -1 · 32 · 57 · 17 · 79 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33,1469] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-38:1] [47:325:1] |
Generators of the group modulo torsion |
j |
-262144/60435 |
j-invariant |
L |
11.844385374621 |
L(r)(E,1)/r! |
Ω |
1.2790715797179 |
Real period |
R |
1.1575178397753 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20145b1 |
Quadratic twists by: 5 |