Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275m |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
930024536328125 = 58 · 79 · 59 |
Discriminant |
Eigenvalues |
0 0 5- 7- 4 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24500,160781] |
[a1,a2,a3,a4,a6] |
Generators |
[-350:8571:8] |
Generators of the group modulo torsion |
j |
35389440/20237 |
j-invariant |
L |
5.2327829597297 |
L(r)(E,1)/r! |
Ω |
0.42555671757136 |
Real period |
R |
1.0246936039857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275c1 10325e1 |
Quadratic twists by: 5 -7 |