Atkin-Lehner |
2+ 3- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25194j |
Isogeny class |
Conductor |
25194 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
1.5410613895724E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21523406,-38435241940] |
[a1,a2,a3,a4,a6] |
j |
1102698228671972743117569625/15410613895723719972 |
j-invariant |
L |
0.84111120362036 |
L(r)(E,1)/r! |
Ω |
0.070092600301721 |
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 |
75582bc1 |
Quadratic twists by: -3 |