Atkin-Lehner |
2+ 3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810a |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032000 |
Modular degree for the optimal curve |
Δ |
3.92126930496E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-100978818,248495750388] |
[a1,a2,a3,a4,a6] |
Generators |
[10723987614708688297570116:-1396621472573028389388195746:509127883277823397197] |
Generators of the group modulo torsion |
j |
113871375631987281946188566569/39212693049600000000000000 |
j-invariant |
L |
2.2830558219706 |
L(r)(E,1)/r! |
Ω |
0.059457827771427 |
Real period |
R |
38.397901631176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480by1 38430bn1 64050ck1 89670ba1 |
Quadratic twists by: -4 -3 5 -7 |