Atkin-Lehner |
5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
26195c |
Isogeny class |
Conductor |
26195 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
937872 |
Modular degree for the optimal curve |
Δ |
-49389945998046875 = -1 · 59 · 138 · 31 |
Discriminant |
Eigenvalues |
-2 3 5+ 2 0 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-700843,-226081736] |
[a1,a2,a3,a4,a6] |
Generators |
[3273373749910592787193141999747176117:-144970892194256766391375243510005847553:1418535872120267135715314071878831] |
Generators of the group modulo torsion |
j |
-46670141067264/60546875 |
j-invariant |
L |
4.8527286289891 |
L(r)(E,1)/r! |
Ω |
0.082495564027384 |
Real period |
R |
58.824116014023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26195l1 |
Quadratic twists by: 13 |