Atkin-Lehner |
2- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7774d |
Isogeny class |
Conductor |
7774 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
81708222752 = 25 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 0 -4 4 -2 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28762,-1870215] |
[a1,a2,a3,a4,a6] |
Generators |
[283:3407:1] |
Generators of the group modulo torsion |
j |
545138290809/16928 |
j-invariant |
L |
5.1736014732955 |
L(r)(E,1)/r! |
Ω |
0.36660364023747 |
Real period |
R |
2.8224495915776 |
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 |
62192j2 69966l2 46a2 |
Quadratic twists by: -4 -3 13 |