Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368v |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
64 |
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] |
Generators |
[-32:630:1] |
Generators of the group modulo torsion |
j |
741709148608/11431161 |
j-invariant |
L |
7.6008392202832 |
L(r)(E,1)/r! |
Ω |
0.92741455708387 |
Real period |
R |
2.0489324763701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46368bl1 92736cd2 15456p1 |
Quadratic twists by: -4 8 -3 |