Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
129960q |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2606529990924000000 = -1 · 28 · 36 · 56 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,193857,70387058] |
[a1,a2,a3,a4,a6] |
Generators |
[7304531:-425262332:2197] |
Generators of the group modulo torsion |
j |
91765424/296875 |
j-invariant |
L |
7.0247178515051 |
L(r)(E,1)/r! |
Ω |
0.18126223829779 |
Real period |
R |
9.6886119980382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998070415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440j2 6840s2 |
Quadratic twists by: -3 -19 |