Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200bv |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
149590800 = 24 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -4 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,135] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:17:1] [-6:27:1] |
Generators of the group modulo torsion |
j |
34560/19 |
j-invariant |
L |
8.2168505662963 |
L(r)(E,1)/r! |
Ω |
1.5901650239583 |
Real period |
R |
1.2918235595831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68400i1 34200d1 34200k1 |
Quadratic twists by: -4 -3 5 |