Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235u |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
4942374705544185 = 38 · 5 · 74 · 137 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-43380,-797445] |
[a1,a2,a3,a4,a6] |
Generators |
[-1402:10165:8] |
Generators of the group modulo torsion |
j |
2565726409/1404585 |
j-invariant |
L |
6.5032829894416 |
L(r)(E,1)/r! |
Ω |
0.35341011663474 |
Real period |
R |
2.3001898797677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17745w1 4095k1 |
Quadratic twists by: -3 13 |