Atkin-Lehner |
3- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
20907a |
Isogeny class |
Conductor |
20907 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-814322235087 = -1 · 38 · 233 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 4 4 -6 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1372,38414] |
[a1,a2,a3,a4,a6] |
Generators |
[54:490:1] |
Generators of the group modulo torsion |
j |
392062442759/1117040103 |
j-invariant |
L |
4.7985801761438 |
L(r)(E,1)/r! |
Ω |
0.62802448359908 |
Real period |
R |
1.2734588914549 |
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 |
6969b1 |
Quadratic twists by: -3 |