Atkin-Lehner |
2+ 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312b |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7843530752 = 211 · 192 · 1032 |
Discriminant |
Eigenvalues |
2+ 2 0 0 -2 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15368,-728176] |
[a1,a2,a3,a4,a6] |
Generators |
[104904:101764:729] |
Generators of the group modulo torsion |
j |
196008125215250/3829849 |
j-invariant |
L |
8.1695441564611 |
L(r)(E,1)/r! |
Ω |
0.42878873868507 |
Real period |
R |
4.7631522352442 |
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 |
15656h2 125248bl2 |
Quadratic twists by: -4 8 |