Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25440m |
Isogeny class |
Conductor |
25440 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
577920 |
Modular degree for the optimal curve |
Δ |
-1627969995000000000 = -1 · 29 · 37 · 510 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -5 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813736,-289399240] |
[a1,a2,a3,a4,a6] |
j |
-116387107267776738632/3179628896484375 |
j-invariant |
L |
2.2218093143862 |
L(r)(E,1)/r! |
Ω |
0.07935033265666 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25440c1 50880cz1 76320by1 127200ch1 |
Quadratic twists by: -4 8 -3 5 |