Atkin-Lehner |
2+ 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480l |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
73528873629926400 = 210 · 38 · 52 · 76 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105096,-1364220] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:2940:1] |
Generators of the group modulo torsion |
j |
125367928105930276/71805540654225 |
j-invariant |
L |
8.9026072685455 |
L(r)(E,1)/r! |
Ω |
0.28755673792563 |
Real period |
R |
0.64498917990533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010269 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51240m2 |
Quadratic twists by: -4 |