Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
81774o |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
67112100179841024 = 212 · 38 · 72 · 114 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168498,-23481900] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:1878:1] |
Generators of the group modulo torsion |
j |
725741377429999393/92060494073856 |
j-invariant |
L |
3.5055600111833 |
L(r)(E,1)/r! |
Ω |
0.23760691346239 |
Real period |
R |
1.8442013926113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015895 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27258bd2 |
Quadratic twists by: -3 |