Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192f |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-3132286976 = -1 · 211 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 1 1 7- 2 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-9388] |
[a1,a2,a3,a4,a6] |
Generators |
[62:428:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
5.6441900371181 |
L(r)(E,1)/r! |
Ω |
0.44736296351905 |
Real period |
R |
3.1541446752318 |
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 |
5096j1 40768cr1 91728bk1 208b1 |
Quadratic twists by: -4 8 -3 -7 |