Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34810a |
Isogeny class |
Conductor |
34810 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
139240 = 23 · 5 · 592 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 0 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:4:1] [-10:23:8] |
Generators of the group modulo torsion |
j |
78529/40 |
j-invariant |
L |
6.4135336310353 |
L(r)(E,1)/r! |
Ω |
2.6284197702727 |
Real period |
R |
2.4400720552979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34810i1 |
Quadratic twists by: -59 |