Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950a |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1267200 |
Modular degree for the optimal curve |
Δ |
2.862065664E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3580917,-2477037259] |
[a1,a2,a3,a4,a6] |
Generators |
[1061066116633382:-49917038178444691:309876419663] |
Generators of the group modulo torsion |
j |
16511830677985707/930611200000 |
j-invariant |
L |
4.1813636181266 |
L(r)(E,1)/r! |
Ω |
0.11013490944281 |
Real period |
R |
18.982916675923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31950bp1 6390n1 |
Quadratic twists by: -3 5 |