Atkin-Lehner |
2- 3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194w |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15616 |
Modular degree for the optimal curve |
Δ |
-990224976 = -1 · 24 · 3 · 13 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,220,864] |
[a1,a2,a3,a4,a6] |
Generators |
[90:822:1] |
Generators of the group modulo torsion |
j |
1177249106879/990224976 |
j-invariant |
L |
10.00429231724 |
L(r)(E,1)/r! |
Ω |
1.0125559242674 |
Real period |
R |
1.2350296015104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75582g1 |
Quadratic twists by: -3 |