Atkin-Lehner |
3- 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31005o |
Isogeny class |
Conductor |
31005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
12557025 = 36 · 52 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -2 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3227,71354] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:361:1] [24:73:1] |
Generators of the group modulo torsion |
j |
5096439860329/17225 |
j-invariant |
L |
5.500356617439 |
L(r)(E,1)/r! |
Ω |
1.9664657304626 |
Real period |
R |
2.7970772804387 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3445a1 |
Quadratic twists by: -3 |