Atkin-Lehner |
2+ 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93138h |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
1793292633755712 = 26 · 36 · 197 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32136,861696] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1464:1] |
Generators of the group modulo torsion |
j |
78018694417/38117952 |
j-invariant |
L |
1.0342525226068 |
L(r)(E,1)/r! |
Ω |
0.41792753394505 |
Real period |
R |
0.61867933570542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902n1 |
Quadratic twists by: -19 |