Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320k |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-470865888599116800 = -1 · 210 · 3 · 52 · 1910 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -2 -1 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43440,-33183588] |
[a1,a2,a3,a4,a6] |
Generators |
[6990758:139367880:12167] |
Generators of the group modulo torsion |
j |
-1444/75 |
j-invariant |
L |
5.7658285551717 |
L(r)(E,1)/r! |
Ω |
0.12972203405155 |
Real period |
R |
11.111891278393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640bg1 129960cm1 43320bd1 |
Quadratic twists by: -4 -3 -19 |