Atkin-Lehner |
2- 3+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344x |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
10207055904768 = 216 · 33 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8715,272826] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:174:1] [-6:570:1] |
Generators of the group modulo torsion |
j |
661914925875/92294704 |
j-invariant |
L |
9.6811654751414 |
L(r)(E,1)/r! |
Ω |
0.69556072157762 |
Real period |
R |
1.1598754279228 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9918i1 79344s1 |
Quadratic twists by: -4 -3 |