Atkin-Lehner |
2- 3+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bk |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
527040 |
Modular degree for the optimal curve |
Δ |
-1211376937500000 = -1 · 25 · 33 · 59 · 233 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38027,3318651] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:1824:1] |
Generators of the group modulo torsion |
j |
-225229584229950483/44865812500000 |
j-invariant |
L |
12.536481091668 |
L(r)(E,1)/r! |
Ω |
0.46585768008634 |
Real period |
R |
0.099668661713147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130a1 |
Quadratic twists by: -3 |