Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
60984f |
Isogeny class |
Conductor |
60984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-28459506029746176 = -1 · 211 · 33 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49731,9170590] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:3630:1] [198:2662:1] |
Generators of the group modulo torsion |
j |
-138853062/290521 |
j-invariant |
L |
8.6247929187743 |
L(r)(E,1)/r! |
Ω |
0.33219148658031 |
Real period |
R |
6.4908292861165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968w2 60984bo2 5544n2 |
Quadratic twists by: -4 -3 -11 |