Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129150cp |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
29030400 |
Modular degree for the optimal curve |
Δ |
-1.8677683262833E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,29718895,-198367631103] |
[a1,a2,a3,a4,a6] |
Generators |
[5399:342900:1] |
Generators of the group modulo torsion |
j |
254843842209078249791/1639741740495667200 |
j-invariant |
L |
11.885279636871 |
L(r)(E,1)/r! |
Ω |
0.034355898050008 |
Real period |
R |
2.0592013766336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999383953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43050b1 25830r1 |
Quadratic twists by: -3 5 |