Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215ce |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-3132827058440625 = -1 · 3 · 55 · 711 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -3 13+ -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16416,2810625] |
[a1,a2,a3,a4,a6] |
Generators |
[221:3050:1] |
Generators of the group modulo torsion |
j |
-24606647689/157565625 |
j-invariant |
L |
2.9302376451985 |
L(r)(E,1)/r! |
Ω |
0.38695930802233 |
Real period |
R |
3.7862348688138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846636 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17745j1 124215cu1 |
Quadratic twists by: -7 13 |