Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58275o |
Isogeny class |
Conductor |
58275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45119017053140625 = 316 · 56 · 72 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-296217,61279816] |
[a1,a2,a3,a4,a6] |
Generators |
[10676:254537:64] |
Generators of the group modulo torsion |
j |
252352098250057/3961065969 |
j-invariant |
L |
7.1773006674916 |
L(r)(E,1)/r! |
Ω |
0.36024933012484 |
Real period |
R |
4.9807869630123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997392 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19425h2 2331a2 |
Quadratic twists by: -3 5 |