Atkin-Lehner |
2- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84050o |
Isogeny class |
Conductor |
84050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
-608607105878125000 = -1 · 23 · 58 · 417 |
Discriminant |
Eigenvalues |
2- 0 5- 5 -6 -1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91930,-39014303] |
[a1,a2,a3,a4,a6] |
Generators |
[2942245:2558167:6859] |
Generators of the group modulo torsion |
j |
-46305/328 |
j-invariant |
L |
10.653927989303 |
L(r)(E,1)/r! |
Ω |
0.12157554629349 |
Real period |
R |
7.3026801768384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84050b1 2050g1 |
Quadratic twists by: 5 41 |