Atkin-Lehner |
2- 5- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
111800r |
Isogeny class |
Conductor |
111800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
272640 |
Modular degree for the optimal curve |
Δ |
-249984800000000 = -1 · 211 · 58 · 132 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- -2 3 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6208,-781588] |
[a1,a2,a3,a4,a6] |
Generators |
[3171:8342:27] |
Generators of the group modulo torsion |
j |
-33079490/312481 |
j-invariant |
L |
5.1964288061724 |
L(r)(E,1)/r! |
Ω |
0.23477269145215 |
Real period |
R |
5.5334681396681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999486453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111800c1 |
Quadratic twists by: 5 |