Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83490cp |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
1260 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
-1.2450901743481E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6649255,8506751177] |
[a1,a2,a3,a4,a6] |
Generators |
[824:-60307:1] |
Generators of the group modulo torsion |
j |
-18352133968183956361/7028209439856000 |
j-invariant |
L |
13.426083384371 |
L(r)(E,1)/r! |
Ω |
0.11895387351385 |
Real period |
R |
0.089577761683272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000659 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7590n1 |
Quadratic twists by: -11 |