Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
7416b |
Isogeny class |
Conductor |
7416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2076005376 = -1 · 210 · 39 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-459,4374] |
[a1,a2,a3,a4,a6] |
Generators |
[27:108:1] |
Generators of the group modulo torsion |
j |
-530604/103 |
j-invariant |
L |
4.0424540509395 |
L(r)(E,1)/r! |
Ω |
1.4095215380495 |
Real period |
R |
0.71699047191102 |
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 |
14832b1 59328c1 7416a1 |
Quadratic twists by: -4 8 -3 |