Atkin-Lehner |
2- 5+ 19- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75050k |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-111402343750000 = -1 · 24 · 512 · 192 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10687,282031] |
[a1,a2,a3,a4,a6] |
Generators |
[7220:106083:64] |
Generators of the group modulo torsion |
j |
8639101458359/7129750000 |
j-invariant |
L |
15.156090860096 |
L(r)(E,1)/r! |
Ω |
0.38333819926302 |
Real period |
R |
4.942140806883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15010b1 |
Quadratic twists by: 5 |