Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
4592b |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
28801024 = 211 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- -6 0 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,416] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:14:1] [-4:28:1] |
Generators of the group modulo torsion |
j |
76545506/14063 |
j-invariant |
L |
3.5751265262647 |
L(r)(E,1)/r! |
Ω |
1.9961999697696 |
Real period |
R |
0.14924717715355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2296a1 18368y1 41328m1 114800c1 |
Quadratic twists by: -4 8 -3 5 |