Atkin-Lehner |
2+ 3+ 7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106h |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
285696 |
Modular degree for the optimal curve |
Δ |
457777135872 = 28 · 33 · 72 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84588,-9447984] |
[a1,a2,a3,a4,a6] |
Generators |
[12957:1467984:1] |
Generators of the group modulo torsion |
j |
2479071803616765531/16954708736 |
j-invariant |
L |
4.4567131594147 |
L(r)(E,1)/r! |
Ω |
0.27994473439523 |
Real period |
R |
7.9599874712932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106bg1 |
Quadratic twists by: -3 |