Atkin-Lehner |
2- 3- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120870s |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-489523500 = -1 · 22 · 36 · 53 · 17 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128,-1169] |
[a1,a2,a3,a4,a6] |
Generators |
[73:575:1] |
Generators of the group modulo torsion |
j |
-315821241/671500 |
j-invariant |
L |
7.8346985309569 |
L(r)(E,1)/r! |
Ω |
0.6656944262345 |
Real period |
R |
2.9423028936677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999802467 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13430c1 |
Quadratic twists by: -3 |