Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480da |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-3.6047486957418E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5325600,-5544457740] |
[a1,a2,a3,a4,a6] |
Generators |
[2612616:162048777:512] |
Generators of the group modulo torsion |
j |
-4078208988807294650401/880065599546327040 |
j-invariant |
L |
6.4867699798272 |
L(r)(E,1)/r! |
Ω |
0.049124148772212 |
Real period |
R |
11.004041362471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2310o1 73920dz1 55440cs1 92400ek1 |
Quadratic twists by: -4 8 -3 5 |