Atkin-Lehner |
2+ 3- 7- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112518k |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
19038208 |
Modular degree for the optimal curve |
Δ |
-4.9247214095603E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30357468,-72688212644] |
[a1,a2,a3,a4,a6] |
Generators |
[8510:529796:1] |
Generators of the group modulo torsion |
j |
-4244170569992671316225473/675544774973977510812 |
j-invariant |
L |
4.3663635455826 |
L(r)(E,1)/r! |
Ω |
0.03188010056073 |
Real period |
R |
4.2800636628708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37506t1 |
Quadratic twists by: -3 |