Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1610c |
Isogeny class |
Conductor |
1610 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
24894528400 = 24 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2298,42281] |
[a1,a2,a3,a4,a6] |
Generators |
[15:97:1] |
Generators of the group modulo torsion |
j |
1341518286067569/24894528400 |
j-invariant |
L |
3.7578211363811 |
L(r)(E,1)/r! |
Ω |
1.1954813373362 |
Real period |
R |
0.5238923462626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12880m2 51520be2 14490bd2 8050e2 |
Quadratic twists by: -4 8 -3 5 |