Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248ch |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
294227029660370688 = 28 · 320 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219855,-29887846] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:3024:1] |
Generators of the group modulo torsion |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
4.8857258754145 |
L(r)(E,1)/r! |
Ω |
0.2245283966228 |
Real period |
R |
3.6266577330545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812f2 124992go2 10416be2 |
Quadratic twists by: -4 8 -3 |