Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15624m |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
79091437824 = 28 · 38 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2631,-50150] |
[a1,a2,a3,a4,a6] |
Generators |
[87:616:1] |
Generators of the group modulo torsion |
j |
10792418128/423801 |
j-invariant |
L |
4.1308303523276 |
L(r)(E,1)/r! |
Ω |
0.66821929977213 |
Real period |
R |
3.0909241574856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31248m2 124992co2 5208m2 109368v2 |
Quadratic twists by: -4 8 -3 -7 |