Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bd |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-726366748147712 = -1 · 228 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 0 4 7- 2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31948,-2551920] |
[a1,a2,a3,a4,a6] |
Generators |
[6566700949574920:-522486439175989911:1036433728000] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
8.9267991301658 |
L(r)(E,1)/r! |
Ω |
0.17663405357747 |
Real period |
R |
25.269190592111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000396 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128m1 18032q1 1472i1 |
Quadratic twists by: -4 8 -7 |