Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120i |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-409993216000 = -1 · 223 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 2 -5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2241,51905] |
[a1,a2,a3,a4,a6] |
Generators |
[80:615:1] |
Generators of the group modulo torsion |
j |
-4750104241/1564000 |
j-invariant |
L |
8.0368630373064 |
L(r)(E,1)/r! |
Ω |
0.89326485415753 |
Real period |
R |
4.4985890436565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000081267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bv1 3910o1 |
Quadratic twists by: -4 8 |