Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
14640bl |
Isogeny class |
Conductor |
14640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2.4547696601727E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,115600,237934548] |
[a1,a2,a3,a4,a6] |
Generators |
[19044:1106235:64] |
Generators of the group modulo torsion |
j |
41709358422320399/5993089990656000 |
j-invariant |
L |
6.4830152293569 |
L(r)(E,1)/r! |
Ω |
0.16373083831946 |
Real period |
R |
6.5992610147024 |
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 |
1830g1 58560cc1 43920br1 73200bq1 |
Quadratic twists by: -4 8 -3 5 |