Atkin-Lehner |
5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62465d |
Isogeny class |
Conductor |
62465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-944456456279171875 = -1 · 56 · 133 · 317 |
Discriminant |
Eigenvalues |
0 2 5+ -4 -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1154481,480119506] |
[a1,a2,a3,a4,a6] |
Generators |
[-1126:18739:1] [638:1687:1] |
Generators of the group modulo torsion |
j |
-191740693970944/1064171875 |
j-invariant |
L |
9.6357562278064 |
L(r)(E,1)/r! |
Ω |
0.28052588808341 |
Real period |
R |
4.2936127453617 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2015b2 |
Quadratic twists by: -31 |