Atkin-Lehner |
2+ 3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958d |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
4.6032372123523E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4454975,-3606334587] |
[a1,a2,a3,a4,a6] |
Generators |
[668961481:50021295955:103823] |
Generators of the group modulo torsion |
j |
9778217162391456927765625/46032372123523440192 |
j-invariant |
L |
3.4784758997141 |
L(r)(E,1)/r! |
Ω |
0.10394683290743 |
Real period |
R |
8.3659977952671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53874g1 |
Quadratic twists by: -3 |