Atkin-Lehner |
2- 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99450by |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
11309851800 = 23 · 39 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-920,9667] |
[a1,a2,a3,a4,a6] |
Generators |
[55:323:1] |
Generators of the group modulo torsion |
j |
174828915/22984 |
j-invariant |
L |
10.074422394037 |
L(r)(E,1)/r! |
Ω |
1.2288571413007 |
Real period |
R |
0.68318372457897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008741 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99450a1 99450i1 |
Quadratic twists by: -3 5 |