Atkin-Lehner |
2- 11- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
125488h |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-31096930304 = -1 · 215 · 113 · 23 · 31 |
Discriminant |
Eigenvalues |
2- -1 -1 -3 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,784,-1088] |
[a1,a2,a3,a4,a6] |
Generators |
[24:-176:1] |
Generators of the group modulo torsion |
j |
12994449551/7592024 |
j-invariant |
L |
2.184356902804 |
L(r)(E,1)/r! |
Ω |
0.69136377083018 |
Real period |
R |
0.26329083264455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999460622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15686e1 |
Quadratic twists by: -4 |