Atkin-Lehner |
2+ 3+ 5- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270k |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-2.1006484389581E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-438627,-2208148851] |
[a1,a2,a3,a4,a6] |
Generators |
[3185:167868:1] |
Generators of the group modulo torsion |
j |
-5268114828522001/1185761280000000 |
j-invariant |
L |
5.4268459106989 |
L(r)(E,1)/r! |
Ω |
0.065529475257335 |
Real period |
R |
5.9153815846325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570w1 |
Quadratic twists by: -11 |