Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79040bg |
Isogeny class |
Conductor |
79040 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-824045747200 = -1 · 210 · 52 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 6 13- 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2665,-69537] |
[a1,a2,a3,a4,a6] |
j |
-2044929535744/804732175 |
j-invariant |
L |
3.2588377528965 |
L(r)(E,1)/r! |
Ω |
0.32588377549037 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79040cc1 4940a1 |
Quadratic twists by: -4 8 |