Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cp |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
149884826000 = 24 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2353,-40769] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:32:1] |
Generators of the group modulo torsion |
j |
97972181/10192 |
j-invariant |
L |
12.414400108681 |
L(r)(E,1)/r! |
Ω |
0.69008476548954 |
Real period |
R |
2.2487092762935 |
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 |
31850bl1 4550w1 |
Quadratic twists by: 5 -7 |