Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
15624k |
Isogeny class |
Conductor |
15624 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.1134939149545E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3137571,2133103086] |
[a1,a2,a3,a4,a6] |
Generators |
[-1905:34596:1] |
Generators of the group modulo torsion |
j |
4575904097608151172/14916274366567 |
j-invariant |
L |
3.50249465745 |
L(r)(E,1)/r! |
Ω |
0.22809144209426 |
Real period |
R |
1.2796383420071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248s2 124992bz2 1736b2 109368n2 |
Quadratic twists by: -4 8 -3 -7 |