Atkin-Lehner |
2+ 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850k |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
47742976000000 = 221 · 56 · 31 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16300,722000] |
[a1,a2,a3,a4,a6] |
Generators |
[3476:-161:64] |
Generators of the group modulo torsion |
j |
30655480635073/3055550464 |
j-invariant |
L |
4.4635771672276 |
L(r)(E,1)/r! |
Ω |
0.6181877118314 |
Real period |
R |
7.2204236376957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914f1 |
Quadratic twists by: 5 |