Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cy |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
70080 |
Modular degree for the optimal curve |
Δ |
-3382031250 = -1 · 2 · 32 · 58 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 4 13+ 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-6858] |
[a1,a2,a3,a4,a6] |
Generators |
[6338684:47875445:85184] |
Generators of the group modulo torsion |
j |
-73530625/8658 |
j-invariant |
L |
10.863381242204 |
L(r)(E,1)/r! |
Ω |
0.47184425653218 |
Real period |
R |
11.511617543992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150m1 |
Quadratic twists by: 5 |