Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960el |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
32440320 |
Modular degree for the optimal curve |
Δ |
8.8620318996914E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251937867,563619124474] |
[a1,a2,a3,a4,a6] |
Generators |
[-12922:1288980:1] |
Generators of the group modulo torsion |
j |
592265697637387401314569/296787655248366796800 |
j-invariant |
L |
6.9240043078744 |
L(r)(E,1)/r! |
Ω |
0.044156680826905 |
Real period |
R |
6.5335567434298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999899709 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870by1 34320br1 |
Quadratic twists by: -4 -3 |