Atkin-Lehner |
2+ 3- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30552j |
Isogeny class |
Conductor |
30552 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-3001893848064 = -1 · 210 · 33 · 192 · 673 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3064,104864] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-228:1] |
Generators of the group modulo torsion |
j |
-3107647648228/2931536961 |
j-invariant |
L |
8.1048964165427 |
L(r)(E,1)/r! |
Ω |
0.73109057790962 |
Real period |
R |
0.92383632769973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61104e1 91656p1 |
Quadratic twists by: -4 -3 |