Atkin-Lehner |
3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
119925w |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
307354658203125 = 310 · 510 · 13 · 41 |
Discriminant |
Eigenvalues |
-2 3- 5+ -3 1 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-80625,-8771094] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:166:1] |
Generators of the group modulo torsion |
j |
8141516800/43173 |
j-invariant |
L |
1.9581460474887 |
L(r)(E,1)/r! |
Ω |
0.28341365314441 |
Real period |
R |
3.4545726651006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996392034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975p1 119925bu1 |
Quadratic twists by: -3 5 |