Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34485o |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-3360075459675 = -1 · 3 · 52 · 119 · 19 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 11- 3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1654,84860] |
[a1,a2,a3,a4,a6] |
Generators |
[84:907:1] |
Generators of the group modulo torsion |
j |
282300416/1896675 |
j-invariant |
L |
3.7076905033218 |
L(r)(E,1)/r! |
Ω |
0.57651692991786 |
Real period |
R |
1.607797755328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103455bc1 3135c1 |
Quadratic twists by: -3 -11 |