Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bk |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1943875584 = -1 · 212 · 37 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12338976,-16682717392] |
[a1,a2,a3,a4,a6] |
Generators |
[15628438293994687931929454984:-321663956900603965324859129211:3677068632775762741064192] |
Generators of the group modulo torsion |
j |
-69578264895333695488/651 |
j-invariant |
L |
7.2627914364674 |
L(r)(E,1)/r! |
Ω |
0.040276319668035 |
Real period |
R |
45.081027116732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1953g3 124992er3 10416r3 |
Quadratic twists by: -4 8 -3 |