Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112q |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
3548160 |
Modular degree for the optimal curve |
Δ |
-6.060569545029E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2200933,1726228907] |
[a1,a2,a3,a4,a6] |
j |
-1151448237015808000000/591852494631738123 |
j-invariant |
L |
3.3346996568502 |
L(r)(E,1)/r! |
Ω |
0.15157725210403 |
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 |
98112bm1 6132b1 |
Quadratic twists by: -4 8 |