Atkin-Lehner |
2- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121030bf |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
20341512100 = 22 · 52 · 77 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1602,-23299] |
[a1,a2,a3,a4,a6] |
Generators |
[1598:21247:8] |
Generators of the group modulo torsion |
j |
3862503009/172900 |
j-invariant |
L |
10.757543683353 |
L(r)(E,1)/r! |
Ω |
0.75675636239736 |
Real period |
R |
3.553833243463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010963 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17290l1 |
Quadratic twists by: -7 |