Atkin-Lehner |
2- 3- 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
25398k |
Isogeny class |
Conductor |
25398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
818684033814 = 2 · 310 · 174 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8456,-293979] |
[a1,a2,a3,a4,a6] |
Generators |
[-3180:4143:64] |
Generators of the group modulo torsion |
j |
91715546127673/1123023366 |
j-invariant |
L |
6.370462774866 |
L(r)(E,1)/r! |
Ω |
0.49823460987479 |
Real period |
R |
6.39303517721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8466e3 |
Quadratic twists by: -3 |