Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488by |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
134343306510336 = 220 · 32 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69057,6985665] |
[a1,a2,a3,a4,a6] |
Generators |
[47:1960:1] |
Generators of the group modulo torsion |
j |
1180932193/4356 |
j-invariant |
L |
6.1174852254664 |
L(r)(E,1)/r! |
Ω |
0.58638712318638 |
Real period |
R |
2.6081256556832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040683 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103488ht2 3234t2 2112r2 |
Quadratic twists by: -4 8 -7 |