Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120o |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
27090000 = 24 · 32 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-911,-10890] |
[a1,a2,a3,a4,a6] |
Generators |
[46:216:1] |
Generators of the group modulo torsion |
j |
5231611623424/1693125 |
j-invariant |
L |
6.2665076489256 |
L(r)(E,1)/r! |
Ω |
0.86893777122365 |
Real period |
R |
3.6058437418952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240c1 108360bx1 |
Quadratic twists by: -4 -3 |