Atkin-Lehner |
2+ 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296a |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1358208 |
Modular degree for the optimal curve |
Δ |
5.6880057337151E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8249247,-8363734218] |
[a1,a2,a3,a4,a6] |
j |
3880133825326557297276928/355500358357194958653 |
j-invariant |
L |
2.1953381248501 |
L(r)(E,1)/r! |
Ω |
0.089605637748976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12648f1 101184bd1 75888m1 |
Quadratic twists by: -4 8 -3 |