Atkin-Lehner |
2- 3- 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150cx |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-25961723226562500 = -1 · 22 · 312 · 59 · 132 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,73987,314517] |
[a1,a2,a3,a4,a6] |
Generators |
[178:4285:1] |
Generators of the group modulo torsion |
j |
22932930790531/13292402292 |
j-invariant |
L |
12.51033517408 |
L(r)(E,1)/r! |
Ω |
0.22599254313293 |
Real period |
R |
2.3065538286894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72150u2 |
Quadratic twists by: 5 |