Atkin-Lehner |
2+ 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010l |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
46103040000 = 212 · 33 · 54 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-909,-2168] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:39:1] |
Generators of the group modulo torsion |
j |
82933192515529/46103040000 |
j-invariant |
L |
3.0124861413151 |
L(r)(E,1)/r! |
Ω |
0.93248637772581 |
Real period |
R |
1.0768651114819 |
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 |
60030bn1 100050bn1 |
Quadratic twists by: -3 5 |