Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830be |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-101901378246000 = -1 · 24 · 3 · 53 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6325,-523375] |
[a1,a2,a3,a4,a6] |
Generators |
[1190:10235:8] |
Generators of the group modulo torsion |
j |
-594823321/2166000 |
j-invariant |
L |
7.9631084774358 |
L(r)(E,1)/r! |
Ω |
0.24531432378605 |
Real period |
R |
2.7050698176858 |
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 |
86640cq1 32490k1 54150f1 570c1 |
Quadratic twists by: -4 -3 5 -19 |