Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
84640h |
Isogeny class |
Conductor |
84640 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-5.7636885166816E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 -2 0 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,52195,1155078475] |
[a1,a2,a3,a4,a6] |
Generators |
[1165:52900:1] |
Generators of the group modulo torsion |
j |
25934336/950546875 |
j-invariant |
L |
4.2633135631338 |
L(r)(E,1)/r! |
Ω |
0.12923354290616 |
Real period |
R |
1.1781863699587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84640s1 3680a1 |
Quadratic twists by: -4 -23 |