Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34485m |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-777033228015 = -1 · 35 · 5 · 116 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2296,2297] |
[a1,a2,a3,a4,a6] |
Generators |
[3:94:1] |
Generators of the group modulo torsion |
j |
756058031/438615 |
j-invariant |
L |
8.1645422545821 |
L(r)(E,1)/r! |
Ω |
0.53908084359317 |
Real period |
R |
3.0290604281771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103455z1 285a1 |
Quadratic twists by: -3 -11 |