Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bl |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
673243161034752 = 217 · 34 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11- 2 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87873,9977409] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:4459:1] |
Generators of the group modulo torsion |
j |
4866277250/43659 |
j-invariant |
L |
6.3351422839538 |
L(r)(E,1)/r! |
Ω |
0.5128603938639 |
Real period |
R |
3.0881416969837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488hk2 12936x2 14784bi2 |
Quadratic twists by: -4 8 -7 |