Atkin-Lehner |
3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
58065u |
Isogeny class |
Conductor |
58065 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
58100114518425 = 36 · 52 · 79 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17200,-788425] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:290:1] |
Generators of the group modulo torsion |
j |
13945313143/1439775 |
j-invariant |
L |
5.7363072585382 |
L(r)(E,1)/r! |
Ω |
0.41966526500069 |
Real period |
R |
2.2781280451954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58065c1 |
Quadratic twists by: -7 |