Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112w |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
2 |
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] |
Generators |
[46:147:1] |
Generators of the group modulo torsion |
j |
-212454080512/525819 |
j-invariant |
L |
4.1398289753547 |
L(r)(E,1)/r! |
Ω |
1.3085461149508 |
Real period |
R |
1.581842975913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034224 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112bs1 6132c1 |
Quadratic twists by: -4 8 |