Atkin-Lehner |
2- 3- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bq |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
2349514512 = 24 · 36 · 173 · 41 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,803] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] [26:97:1] |
Generators of the group modulo torsion |
j |
389344000/201433 |
j-invariant |
L |
11.857052915723 |
L(r)(E,1)/r! |
Ω |
1.2806420517725 |
Real period |
R |
9.2586784095837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000482 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25092g1 11152s1 |
Quadratic twists by: -4 -3 |