Atkin-Lehner |
2+ 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
72688a |
Isogeny class |
Conductor |
72688 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
232704 |
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 |
[243:3894:1] |
Generators of the group modulo torsion |
j |
10328264695836/43167626887 |
j-invariant |
L |
3.6370994948104 |
L(r)(E,1)/r! |
Ω |
0.32411775412569 |
Real period |
R |
0.93512811574396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36344a1 |
Quadratic twists by: -4 |