Atkin-Lehner |
3- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25143l |
Isogeny class |
Conductor |
25143 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-6587476384059 = -1 · 313 · 173 · 292 |
Discriminant |
Eigenvalues |
0 3- -1 -2 3 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9871,393889] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-392:1] [-91:739:1] |
Generators of the group modulo torsion |
j |
-21652318158848/1340825643 |
j-invariant |
L |
7.2767248905771 |
L(r)(E,1)/r! |
Ω |
0.73936769826012 |
Real period |
R |
0.18926579759408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75429p1 25143b1 |
Quadratic twists by: -3 17 |