Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ch |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-77976000000000 = -1 · 212 · 33 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1833,426537] |
[a1,a2,a3,a4,a6] |
Generators |
[88:969:1] |
Generators of the group modulo torsion |
j |
-85184/9747 |
j-invariant |
L |
7.0774777399928 |
L(r)(E,1)/r! |
Ω |
0.50125757987795 |
Real period |
R |
3.5298607028005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200ej1 45600u1 91200ex1 |
Quadratic twists by: -4 8 5 |