Atkin-Lehner |
5+ 37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
73075a |
Isogeny class |
Conductor |
73075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-28544921875 = -1 · 510 · 37 · 79 |
Discriminant |
Eigenvalues |
1 2 5+ 0 -5 -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-875,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:160:1] [16:46:1] |
Generators of the group modulo torsion |
j |
-4750104241/1826875 |
j-invariant |
L |
16.266985526873 |
L(r)(E,1)/r! |
Ω |
1.1099219567446 |
Real period |
R |
7.3279861831902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14615c1 |
Quadratic twists by: 5 |