Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200b |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-296726688000000 = -1 · 211 · 32 · 56 · 1013 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30408,-2192688] |
[a1,a2,a3,a4,a6] |
Generators |
[1917:83550:1] |
Generators of the group modulo torsion |
j |
-97174336898/9272709 |
j-invariant |
L |
7.8410984272287 |
L(r)(E,1)/r! |
Ω |
0.17979299307871 |
Real period |
R |
5.4514766400404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60600l1 4848b1 |
Quadratic twists by: -4 5 |