Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dg |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
1232 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
2.2742413736746E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-75108000,100602562500] |
[a1,a2,a3,a4,a6] |
Generators |
[17250:-1984500:1] |
Generators of the group modulo torsion |
j |
388950302854250851396/188776686710390625 |
j-invariant |
L |
10.652906488831 |
L(r)(E,1)/r! |
Ω |
0.060196088491951 |
Real period |
R |
0.57457817470828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680j1 18480j1 |
Quadratic twists by: -4 -7 |