Atkin-Lehner |
2+ 3+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360d |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
46040400 = 24 · 34 · 52 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-771,8496] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:75:1] [-12:126:1] |
Generators of the group modulo torsion |
j |
3171976996864/2877525 |
j-invariant |
L |
6.2550656440422 |
L(r)(E,1)/r! |
Ω |
2.0059979775046 |
Real period |
R |
0.77954535774562 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720t1 73080bk1 121800ca1 |
Quadratic twists by: -4 -3 5 |