Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58300f |
Isogeny class |
Conductor |
58300 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-1809569036000000 = -1 · 28 · 56 · 115 · 532 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 11- 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1723733,-871647337] |
[a1,a2,a3,a4,a6] |
Generators |
[25817:4142798:1] |
Generators of the group modulo torsion |
j |
-141603491201155072/452392259 |
j-invariant |
L |
8.6979506406318 |
L(r)(E,1)/r! |
Ω |
0.065879752019474 |
Real period |
R |
4.4009225768423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2332a1 |
Quadratic twists by: 5 |