Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426m |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8601600 |
Modular degree for the optimal curve |
Δ |
-4.3908844168432E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6807276,-32604135728] |
[a1,a2,a3,a4,a6] |
Generators |
[51748859937335458426984:-23413907526885465852192692:253303310128117067] |
Generators of the group modulo torsion |
j |
-47853785414235024858817/602316106562846785536 |
j-invariant |
L |
5.6319076817868 |
L(r)(E,1)/r! |
Ω |
0.040133734446172 |
Real period |
R |
35.082130781288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990385 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142v1 |
Quadratic twists by: -3 |