Atkin-Lehner |
2- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870u |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
58 |
Product of Tamagawa factors cp |
deg |
389760 |
Modular degree for the optimal curve |
Δ |
-110619567063040 = -1 · 229 · 5 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 5 5 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36630,-2760685] |
[a1,a2,a3,a4,a6] |
Generators |
[225:559:1] |
Generators of the group modulo torsion |
j |
-6463075262907481/131533373440 |
j-invariant |
L |
15.460858632449 |
L(r)(E,1)/r! |
Ω |
0.17234022554712 |
Real period |
R |
1.5467458470562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870j1 |
Quadratic twists by: 29 |