Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79040bq |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-6323200 = -1 · 210 · 52 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39,-65] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] |
Generators of the group modulo torsion |
j |
6243584/6175 |
j-invariant |
L |
3.0800837419944 |
L(r)(E,1)/r! |
Ω |
1.2966075317247 |
Real period |
R |
1.1877471285913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888404 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040o1 19760w1 |
Quadratic twists by: -4 8 |