Atkin-Lehner |
2- 3- 5+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300bd |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
-1.2834968836769E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1446760508,21250372757988] |
[a1,a2,a3,a4,a6] |
Generators |
[-7436:5621154:1] |
Generators of the group modulo torsion |
j |
-83724711023421104409161296/320874220919220035625 |
j-invariant |
L |
9.4477421142108 |
L(r)(E,1)/r! |
Ω |
0.04859100517493 |
Real period |
R |
2.1603774516136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460d2 |
Quadratic twists by: 5 |