Atkin-Lehner |
2- 3+ 13+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42978j |
Isogeny class |
Conductor |
42978 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
11808 |
Modular degree for the optimal curve |
Δ |
-171912 = -1 · 23 · 3 · 13 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 -2 13+ 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-267,-1791] |
[a1,a2,a3,a4,a6] |
Generators |
[209:2916:1] |
Generators of the group modulo torsion |
j |
-2105518942513/171912 |
j-invariant |
L |
8.7271550594644 |
L(r)(E,1)/r! |
Ω |
0.59051528687172 |
Real period |
R |
4.9262936136664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128934m1 |
Quadratic twists by: -3 |