Atkin-Lehner |
3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025q |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-5669836080046875 = -1 · 315 · 56 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11+ 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-81750,9698656] |
[a1,a2,a3,a4,a6] |
Generators |
[190:1012:1] |
Generators of the group modulo torsion |
j |
-5304438784000/497763387 |
j-invariant |
L |
4.363962897102 |
L(r)(E,1)/r! |
Ω |
0.41747344241543 |
Real period |
R |
2.6133176710879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675j1 1881a1 |
Quadratic twists by: -3 5 |