Atkin-Lehner |
2+ 3+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
98112m |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
4747051008 = 214 · 34 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4817,130257] |
[a1,a2,a3,a4,a6] |
Generators |
[43:28:1] |
Generators of the group modulo torsion |
j |
754612278352/289737 |
j-invariant |
L |
6.1292433473165 |
L(r)(E,1)/r! |
Ω |
1.3473508584011 |
Real period |
R |
1.1372767762119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112by1 12264g1 |
Quadratic twists by: -4 8 |