Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368bl |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
533332247616 = 26 · 38 · 74 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6789,-212420] |
[a1,a2,a3,a4,a6] |
j |
741709148608/11431161 |
j-invariant |
L |
4.2115665194803 |
L(r)(E,1)/r! |
Ω |
0.52644581494326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46368v1 92736br2 15456c1 |
Quadratic twists by: -4 8 -3 |