Atkin-Lehner |
2- 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18012d |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-35604481211136 = -1 · 28 · 32 · 195 · 792 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 -1 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11477,-549711] |
[a1,a2,a3,a4,a6] |
Generators |
[25355:291194:125] [128:249:1] |
Generators of the group modulo torsion |
j |
-653140676313088/139080004731 |
j-invariant |
L |
5.2067083709351 |
L(r)(E,1)/r! |
Ω |
0.22802677873592 |
Real period |
R |
0.38056263974771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048t1 54036l1 |
Quadratic twists by: -4 -3 |