Atkin-Lehner |
3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55575bf |
Isogeny class |
Conductor |
55575 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
22046452196023125 = 36 · 54 · 135 · 194 |
Discriminant |
Eigenvalues |
0 3- 5- -4 2 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71100,1488206] |
[a1,a2,a3,a4,a6] |
Generators |
[274:1605:1] |
Generators of the group modulo torsion |
j |
87241870540800/48387275053 |
j-invariant |
L |
4.1937255707131 |
L(r)(E,1)/r! |
Ω |
0.33086657798605 |
Real period |
R |
0.63374874492056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6175i1 55575k1 |
Quadratic twists by: -3 5 |