Atkin-Lehner |
2- 3- 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
29670w |
Isogeny class |
Conductor |
29670 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
499907230433280 = 218 · 36 · 5 · 233 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-59106,-5430204] |
[a1,a2,a3,a4,a6] |
Generators |
[330:3156:1] |
Generators of the group modulo torsion |
j |
22835939288339335969/499907230433280 |
j-invariant |
L |
10.623333281179 |
L(r)(E,1)/r! |
Ω |
0.30659857527155 |
Real period |
R |
3.8498886158556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
89010u1 |
Quadratic twists by: -3 |