Atkin-Lehner |
2+ 3+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52080a |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92928 |
Modular degree for the optimal curve |
Δ |
-9840870144000 = -1 · 211 · 311 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1856,154656] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:166:1] |
Generators of the group modulo torsion |
j |
-345431270018/4805112375 |
j-invariant |
L |
4.8476443462983 |
L(r)(E,1)/r! |
Ω |
0.61474079084374 |
Real period |
R |
3.9428360851454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26040s1 |
Quadratic twists by: -4 |