Atkin-Lehner |
2- 5- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550cf |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
150 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-145785942016000 = -1 · 215 · 53 · 115 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184223,30424537] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1109:1] |
Generators of the group modulo torsion |
j |
-5531531596890364421/1166287536128 |
j-invariant |
L |
4.7592491247272 |
L(r)(E,1)/r! |
Ω |
0.56378984972201 |
Real period |
R |
0.056276870421824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997416304 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550x1 |
Quadratic twists by: 5 |