Atkin-Lehner |
2- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20600p |
Isogeny class |
Conductor |
20600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-257500000000 = -1 · 28 · 510 · 103 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 0 5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59375,-5568750] |
[a1,a2,a3,a4,a6] |
Generators |
[12927:234998:27] |
Generators of the group modulo torsion |
j |
-9259650000/103 |
j-invariant |
L |
4.7464612479422 |
L(r)(E,1)/r! |
Ω |
0.15292143456377 |
Real period |
R |
7.7596402059043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41200a1 20600f1 |
Quadratic twists by: -4 5 |