Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444a |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-4.4766968392755E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-242760,1019015156] |
[a1,a2,a3,a4,a6] |
Generators |
[51990131:3320746119:103823] |
Generators of the group modulo torsion |
j |
-351232000/99379467 |
j-invariant |
L |
6.0726135439531 |
L(r)(E,1)/r! |
Ω |
0.13588592023971 |
Real period |
R |
11.172264036543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38148d1 6732a1 |
Quadratic twists by: -3 17 |