Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
29520n |
Isogeny class |
Conductor |
29520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
32155781760000 = 210 · 36 · 54 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206163,36028962] |
[a1,a2,a3,a4,a6] |
Generators |
[259:82:1] |
Generators of the group modulo torsion |
j |
1298160537477444/43075625 |
j-invariant |
L |
5.4498380841582 |
L(r)(E,1)/r! |
Ω |
0.61409009278001 |
Real period |
R |
0.73955463378978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14760s1 118080gh1 3280a1 |
Quadratic twists by: -4 8 -3 |