Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
129200r |
Isogeny class |
Conductor |
129200 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
-3.04126859675E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 4 -2 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1469633,735774637] |
[a1,a2,a3,a4,a6] |
Generators |
[612:8075:1] |
Generators of the group modulo torsion |
j |
-87758805275616256/7603171491875 |
j-invariant |
L |
5.2506612410508 |
L(r)(E,1)/r! |
Ω |
0.20445254300874 |
Real period |
R |
0.85605216596484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999479329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64600w1 25840j1 |
Quadratic twists by: -4 5 |