Atkin-Lehner |
2- 5- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030bb |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-120886700480 = -1 · 26 · 5 · 76 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1602,30209] |
[a1,a2,a3,a4,a6] |
j |
-3862503009/1027520 |
j-invariant |
L |
5.9725860612478 |
L(r)(E,1)/r! |
Ω |
0.99543116889404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2470d1 |
Quadratic twists by: -7 |