Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200bi |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
666146531250000 = 24 · 310 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 -6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23250,565625] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:1375:1] |
Generators of the group modulo torsion |
j |
61011968/29241 |
j-invariant |
L |
4.705157448432 |
L(r)(E,1)/r! |
Ω |
0.45506984307567 |
Real period |
R |
2.5848545668458 |
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 |
68400cv1 11400bc1 34200cu1 |
Quadratic twists by: -4 -3 5 |