Atkin-Lehner |
2- 3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220f |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-50769542880000 = -1 · 28 · 39 · 54 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8208,188676] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1890:1] |
Generators of the group modulo torsion |
j |
12136808448/10075625 |
j-invariant |
L |
5.8510239996734 |
L(r)(E,1)/r! |
Ω |
0.40955002266395 |
Real period |
R |
0.198423190627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59220c1 |
Quadratic twists by: -3 |