Atkin-Lehner |
2+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58870l |
Isogeny class |
Conductor |
58870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-2.2411039300653E+20 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1396043,-339555411] |
[a1,a2,a3,a4,a6] |
Generators |
[38766:1817257:27] |
Generators of the group modulo torsion |
j |
505861496763839/376768000000 |
j-invariant |
L |
7.6887913988212 |
L(r)(E,1)/r! |
Ω |
0.099036647287044 |
Real period |
R |
6.4696517310573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2030b1 |
Quadratic twists by: 29 |