Atkin-Lehner |
2+ 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
58824g |
Isogeny class |
Conductor |
58824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
-1891898782128 = -1 · 24 · 311 · 192 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1722,71665] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:301:1] |
Generators of the group modulo torsion |
j |
-48414521344/162199827 |
j-invariant |
L |
5.8656449956988 |
L(r)(E,1)/r! |
Ω |
0.73015305235485 |
Real period |
R |
2.0083614582112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117648e1 19608h1 |
Quadratic twists by: -4 -3 |