Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12376l |
Isogeny class |
Conductor |
12376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9237050368 = -1 · 210 · 74 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -2 -4 7+ 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,4624] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:28:1] [0:68:1] |
Generators of the group modulo torsion |
j |
-4/9020557 |
j-invariant |
L |
3.8216628574524 |
L(r)(E,1)/r! |
Ω |
1.0307222964408 |
Real period |
R |
1.8538760976897 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24752o2 99008j2 111384v2 86632t2 |
Quadratic twists by: -4 8 -3 -7 |