Atkin-Lehner |
2+ 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266f |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-324593568 = -1 · 25 · 35 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 3 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,114,-684] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
73560059/147744 |
j-invariant |
L |
2.4411024508042 |
L(r)(E,1)/r! |
Ω |
0.89414315345291 |
Real period |
R |
1.3650512456408 |
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 |
57798bv1 19266t1 |
Quadratic twists by: -3 13 |