Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
60030bp |
Isogeny class |
Conductor |
60030 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1766579168160 = -1 · 25 · 39 · 5 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 5 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7052,-234961] |
[a1,a2,a3,a4,a6] |
Generators |
[423:8293:1] |
Generators of the group modulo torsion |
j |
-53195556657529/2423291040 |
j-invariant |
L |
11.698735354244 |
L(r)(E,1)/r! |
Ω |
0.25980174949937 |
Real period |
R |
4.502947103633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010h1 |
Quadratic twists by: -3 |