Atkin-Lehner |
2- 3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80142o |
Isogeny class |
Conductor |
80142 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
69630842177543736 = 23 · 36 · 199 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -3 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-103434,-1703841] |
[a1,a2,a3,a4,a6] |
Generators |
[1347:47339:1] |
Generators of the group modulo torsion |
j |
2601311308777/1480062456 |
j-invariant |
L |
11.714115023918 |
L(r)(E,1)/r! |
Ω |
0.28773070176373 |
Real period |
R |
1.6963366194933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000866 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218e1 |
Quadratic twists by: -19 |