Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bg |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
63285689843712 = 220 · 33 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2235075,-1286134078] |
[a1,a2,a3,a4,a6] |
j |
11165451838341046875/572244736 |
j-invariant |
L |
1.9755886092061 |
L(r)(E,1)/r! |
Ω |
0.12347428807538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2394b1 76608dh1 19152bh3 |
Quadratic twists by: -4 8 -3 |