Atkin-Lehner |
2- 7- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
36344a |
Isogeny class |
Conductor |
36344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
116352 |
Modular degree for the optimal curve |
Δ |
-44203649932288 = -1 · 210 · 7 · 116 · 592 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11+ -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4573,296910] |
[a1,a2,a3,a4,a6] |
Generators |
[347:6608:1] |
Generators of the group modulo torsion |
j |
10328264695836/43167626887 |
j-invariant |
L |
2.6589438158336 |
L(r)(E,1)/r! |
Ω |
0.45747681875826 |
Real period |
R |
2.9060967756269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72688a1 |
Quadratic twists by: -4 |