Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
92169v |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3956736 |
Modular degree for the optimal curve |
Δ |
1035370251959870673 = 313 · 710 · 112 · 19 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11+ -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46201154,-120860895144] |
[a1,a2,a3,a4,a6] |
j |
127164651399625564873/12072019113 |
j-invariant |
L |
0.92652324928114 |
L(r)(E,1)/r! |
Ω |
0.057907704831852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30723q1 13167h1 |
Quadratic twists by: -3 -7 |