Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342bo |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
617862312281088 = 210 · 310 · 73 · 313 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-45149,-3482139] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:492:1] |
Generators of the group modulo torsion |
j |
40704034023199/2470984704 |
j-invariant |
L |
9.7474655294461 |
L(r)(E,1)/r! |
Ω |
0.32876432900464 |
Real period |
R |
0.49414654964532 |
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 |
9114i1 27342bh1 |
Quadratic twists by: -3 -7 |