Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488cb |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1792173294674509824 = 218 · 34 · 78 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-890689,317368129] |
[a1,a2,a3,a4,a6] |
Generators |
[-401:24696:1] |
Generators of the group modulo torsion |
j |
2533811507137/58110129 |
j-invariant |
L |
4.9941491186398 |
L(r)(E,1)/r! |
Ω |
0.2641672544003 |
Real period |
R |
2.3631567807449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021515 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488hy4 1617g3 14784bm3 |
Quadratic twists by: -4 8 -7 |