Atkin-Lehner |
2- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800df |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
2460483584000 = 222 · 53 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -4 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6968,208468] |
[a1,a2,a3,a4,a6] |
Generators |
[28:190:1] |
Generators of the group modulo torsion |
j |
73087061741/4805632 |
j-invariant |
L |
3.5919736969502 |
L(r)(E,1)/r! |
Ω |
0.79988026482502 |
Real period |
R |
1.122659810593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999736303 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12350k1 98800cr1 |
Quadratic twists by: -4 5 |