Atkin-Lehner |
2+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25840m |
Isogeny class |
Conductor |
25840 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
111936 |
Modular degree for the optimal curve |
Δ |
-32300000000000 = -1 · 211 · 511 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5- -4 1 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2947,-280286] |
[a1,a2,a3,a4,a6] |
Generators |
[93:500:1] |
Generators of the group modulo torsion |
j |
-1382083134642/15771484375 |
j-invariant |
L |
2.7050378266751 |
L(r)(E,1)/r! |
Ω |
0.27982218050242 |
Real period |
R |
0.21970428617935 |
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 |
12920g1 103360cc1 129200e1 |
Quadratic twists by: -4 8 5 |