Atkin-Lehner |
2+ 3+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
62712a |
Isogeny class |
Conductor |
62712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3822676685568 = -1 · 28 · 39 · 132 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 13+ 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7695,-276318] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:52390:1] |
Generators of the group modulo torsion |
j |
-10000422000/758641 |
j-invariant |
L |
6.0893560530918 |
L(r)(E,1)/r! |
Ω |
0.25376355697376 |
Real period |
R |
5.9990450617777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125424b2 62712c2 |
Quadratic twists by: -4 -3 |