Atkin-Lehner |
2- 3+ 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
46620d |
Isogeny class |
Conductor |
46620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-2238180698880 = -1 · 28 · 39 · 5 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 1 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9288,351972] |
[a1,a2,a3,a4,a6] |
Generators |
[24:378:1] |
Generators of the group modulo torsion |
j |
-17585676288/444185 |
j-invariant |
L |
4.9358484143343 |
L(r)(E,1)/r! |
Ω |
0.81958843070213 |
Real period |
R |
0.25093125145873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46620k1 |
Quadratic twists by: -3 |