Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150dd |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1095778125000 = -1 · 23 · 36 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1112,48392] |
[a1,a2,a3,a4,a6] |
j |
389272415/2805192 |
j-invariant |
L |
3.8059684332226 |
L(r)(E,1)/r! |
Ω |
0.63432807253728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
72150a1 |
Quadratic twists by: 5 |