Atkin-Lehner |
2- 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112bs |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-8615018496 = -1 · 214 · 3 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 0 -4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3157,-67379] |
[a1,a2,a3,a4,a6] |
j |
-212454080512/525819 |
j-invariant |
L |
1.2736057927794 |
L(r)(E,1)/r! |
Ω |
0.31840146625144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112w1 24528w1 |
Quadratic twists by: -4 8 |