Atkin-Lehner |
3- 5+ 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
102225m |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-9205100256796875 = -1 · 37 · 57 · 293 · 472 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 -1 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-51033,-6420031] |
[a1,a2,a3,a4,a6] |
Generators |
[663:-15863:1] |
Generators of the group modulo torsion |
j |
-940731083259904/589126416435 |
j-invariant |
L |
7.5215782987463 |
L(r)(E,1)/r! |
Ω |
0.1544384452397 |
Real period |
R |
0.86969211645706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999917391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20445a1 |
Quadratic twists by: 5 |