Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31122bc |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
31200 |
Modular degree for the optimal curve |
Δ |
-196185120768 = -1 · 213 · 36 · 7 · 13 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 1 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4370,-112111] |
[a1,a2,a3,a4,a6] |
Generators |
[97:559:1] |
Generators of the group modulo torsion |
j |
-12657482097625/269115392 |
j-invariant |
L |
9.1040131000386 |
L(r)(E,1)/r! |
Ω |
0.2932312498107 |
Real period |
R |
1.194123580715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458b1 |
Quadratic twists by: -3 |