Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200gw |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-43813878497280000 = -1 · 220 · 33 · 54 · 195 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -3 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1272033,552715137] |
[a1,a2,a3,a4,a6] |
Generators |
[683:1436:1] |
Generators of the group modulo torsion |
j |
-1389310279182025/267418692 |
j-invariant |
L |
3.3109183702487 |
L(r)(E,1)/r! |
Ω |
0.34986062145394 |
Real period |
R |
4.7317676954237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91200eq1 22800ds1 91200hq2 |
Quadratic twists by: -4 8 5 |