Atkin-Lehner |
2+ 3- 7+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354n |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
933120 |
Modular degree for the optimal curve |
Δ |
-313501441192632 = -1 · 23 · 39 · 75 · 113 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11- -5 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39600,3160408] |
[a1,a2,a3,a4,a6] |
Generators |
[149:668:1] |
Generators of the group modulo torsion |
j |
-9420802744953601/430043129208 |
j-invariant |
L |
7.2576696958985 |
L(r)(E,1)/r! |
Ω |
0.53868412305321 |
Real period |
R |
2.2454933396379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000045456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41118i1 |
Quadratic twists by: -3 |