Atkin-Lehner |
2- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
4592i |
Isogeny class |
Conductor |
4592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
63235293184 = 217 · 7 · 413 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1272,-12176] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-1312:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
2.303307831147 |
L(r)(E,1)/r! |
Ω |
0.81611853623967 |
Real period |
R |
0.23518926569985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574f1 18368w1 41328bf1 114800bz1 |
Quadratic twists by: -4 8 -3 5 |