Atkin-Lehner |
2+ 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970y |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
69932990521350 = 2 · 37 · 52 · 116 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2822449,1824866822] |
[a1,a2,a3,a4,a6] |
Generators |
[946:809:1] |
Generators of the group modulo torsion |
j |
1403607530712116449/39475350 |
j-invariant |
L |
3.7026648351432 |
L(r)(E,1)/r! |
Ω |
0.45036972223844 |
Real period |
R |
0.58724209595236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570j2 |
Quadratic twists by: -11 |