Atkin-Lehner |
2+ 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950bj |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
14326486832812500 = 22 · 317 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -5 -6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-67617,-3537959] |
[a1,a2,a3,a4,a6] |
Generators |
[308:2033:1] |
Generators of the group modulo torsion |
j |
120062520625/50309748 |
j-invariant |
L |
3.9874105999306 |
L(r)(E,1)/r! |
Ω |
0.30730817118477 |
Real period |
R |
1.6219104199856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650bb1 31950ch1 |
Quadratic twists by: -3 5 |