Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192i |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
22391824 = 24 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 1 13- 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72,-41] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
53385472/28561 |
j-invariant |
L |
2.6545697180902 |
L(r)(E,1)/r! |
Ω |
1.7409860887294 |
Real period |
R |
0.38118766934368 |
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 |
5096e1 40768cp1 91728bt1 10192a1 |
Quadratic twists by: -4 8 -3 -7 |