Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
121410x |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
62840601900 = 22 · 38 · 52 · 19 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3848,92031] |
[a1,a2,a3,a4,a6] |
Generators |
[5:267:1] |
Generators of the group modulo torsion |
j |
8641627880761/86201100 |
j-invariant |
L |
10.325128691956 |
L(r)(E,1)/r! |
Ω |
1.110911012485 |
Real period |
R |
1.1617861965143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470n2 |
Quadratic twists by: -3 |