Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360do |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
665405072640 = 28 · 39 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2221,-8399] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:146:1] |
Generators of the group modulo torsion |
j |
1972117504/1082565 |
j-invariant |
L |
4.8155783447746 |
L(r)(E,1)/r! |
Ω |
0.74338626646074 |
Real period |
R |
3.2389476268243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999535696 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32340v1 129360hx1 |
Quadratic twists by: -4 -7 |