Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400g |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
19159031250000 = 24 · 36 · 59 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31583,-2139588] |
[a1,a2,a3,a4,a6] |
Generators |
[392:6750:1] |
Generators of the group modulo torsion |
j |
111492995072/613089 |
j-invariant |
L |
3.0677299414542 |
L(r)(E,1)/r! |
Ω |
0.35824394079736 |
Real period |
R |
2.1408107661403 |
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 |
34800bq1 52200ci1 17400bq1 |
Quadratic twists by: -4 -3 5 |