Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29640q |
Isogeny class |
Conductor |
29640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-25005726720 = -1 · 210 · 32 · 5 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1320,20412] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:156:1] |
Generators of the group modulo torsion |
j |
-248584770724/24419655 |
j-invariant |
L |
5.6521197991069 |
L(r)(E,1)/r! |
Ω |
1.1654135764477 |
Real period |
R |
1.2124708157973 |
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 |
59280v1 88920j1 |
Quadratic twists by: -4 -3 |