Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670bi |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4939200 |
Modular degree for the optimal curve |
Δ |
-6.1551853913538E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2007286,1618730483] |
[a1,a2,a3,a4,a6] |
Generators |
[1897:67183:1] |
Generators of the group modulo torsion |
j |
-3166438754267761/2179017600000 |
j-invariant |
L |
9.4472664259878 |
L(r)(E,1)/r! |
Ω |
0.14992722742376 |
Real period |
R |
6.301234663906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670ci1 |
Quadratic twists by: -7 |