Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290t |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-683590102580 = -1 · 22 · 5 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2673563,-1683725567] |
[a1,a2,a3,a4,a6] |
Generators |
[8445444672:94859576827:4330747] |
Generators of the group modulo torsion |
j |
-61834301948881/20 |
j-invariant |
L |
2.1029442864879 |
L(r)(E,1)/r! |
Ω |
0.059033282469941 |
Real period |
R |
17.811514102733 |
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 |
59290bf2 59290dc2 |
Quadratic twists by: -7 -11 |