Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58870j |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11303040 |
Modular degree for the optimal curve |
Δ |
-6.579909824802E+22 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -5 5 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30805848,-66960671962] |
[a1,a2,a3,a4,a6] |
Generators |
[4838650423412:206666610394895:660776311] |
Generators of the group modulo torsion |
j |
-6463075262907481/131533373440 |
j-invariant |
L |
3.3294672687282 |
L(r)(E,1)/r! |
Ω |
0.032002776464482 |
Real period |
R |
17.339470907174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58870u1 |
Quadratic twists by: 29 |