Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
30438c |
Isogeny class |
Conductor |
30438 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
192000 |
Modular degree for the optimal curve |
Δ |
-74539013336064 = -1 · 210 · 316 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 3 -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-423225,-105870483] |
[a1,a2,a3,a4,a6] |
Generators |
[1218:33807:1] |
Generators of the group modulo torsion |
j |
-11500340578110291601/102248303616 |
j-invariant |
L |
3.400748041391 |
L(r)(E,1)/r! |
Ω |
0.093589354269759 |
Real period |
R |
4.5421138813355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10146m1 |
Quadratic twists by: -3 |