Atkin-Lehner |
3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102225h |
Isogeny class |
Conductor |
102225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2726400 |
Modular degree for the optimal curve |
Δ |
2091982146837890625 = 32 · 59 · 293 · 474 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 -6 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-479575,107029000] |
[a1,a2,a3,a4,a6] |
Generators |
[-4170:119585:8] [-2338:120455:8] |
Generators of the group modulo torsion |
j |
6245463786117893/1071094859181 |
j-invariant |
L |
9.1860795860059 |
L(r)(E,1)/r! |
Ω |
0.2490760913106 |
Real period |
R |
18.440307812731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000966 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102225s1 |
Quadratic twists by: 5 |