Atkin-Lehner |
2- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850df |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
11190080000 = 29 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- -3 11- -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-613,2817] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-81:1] [-18:99:1] |
Generators of the group modulo torsion |
j |
336886825/147968 |
j-invariant |
L |
10.703430855364 |
L(r)(E,1)/r! |
Ω |
1.1493124439438 |
Real period |
R |
0.17246109492565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850w1 102850bx1 |
Quadratic twists by: 5 -11 |