Atkin-Lehner |
2- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
31150u |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-11686117187500 = -1 · 22 · 59 · 75 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24563,-1492883] |
[a1,a2,a3,a4,a6] |
Generators |
[322:4739:1] |
Generators of the group modulo torsion |
j |
-104893606034281/747911500 |
j-invariant |
L |
6.6006250637776 |
L(r)(E,1)/r! |
Ω |
0.19059616224043 |
Real period |
R |
1.731573444656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230b1 |
Quadratic twists by: 5 |