Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275p |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-12907001953125 = -1 · 36 · 510 · 72 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 2 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5508,-72959] |
[a1,a2,a3,a4,a6] |
Generators |
[910:10903:8] |
Generators of the group modulo torsion |
j |
2595575/1813 |
j-invariant |
L |
8.5824614013233 |
L(r)(E,1)/r! |
Ω |
0.40069301498252 |
Real period |
R |
5.3547610518187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998442 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6475c1 58275be1 |
Quadratic twists by: -3 5 |