Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850d |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
58305615632000000 = 210 · 56 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97367,1360541] |
[a1,a2,a3,a4,a6] |
j |
3687953625/2106368 |
j-invariant |
L |
0.60327683422374 |
L(r)(E,1)/r! |
Ω |
0.30163838244632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4114c1 9350w1 |
Quadratic twists by: 5 -11 |