Atkin-Lehner |
3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
72075r |
Isogeny class |
Conductor |
72075 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
803520 |
Modular degree for the optimal curve |
Δ |
-14392536256816875 = -1 · 33 · 54 · 318 |
Discriminant |
Eigenvalues |
-1 3+ 5- -5 -2 6 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-108613,-14982994] |
[a1,a2,a3,a4,a6] |
Generators |
[400:2202:1] [9230:294411:8] |
Generators of the group modulo torsion |
j |
-265825/27 |
j-invariant |
L |
5.0178970602269 |
L(r)(E,1)/r! |
Ω |
0.13073979201902 |
Real period |
R |
4.2645326965578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72075x1 72075bm1 |
Quadratic twists by: 5 -31 |