Atkin-Lehner |
2- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
46480k |
Isogeny class |
Conductor |
46480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-47595520000 = -1 · 217 · 54 · 7 · 83 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -5 -2 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2696,54004] |
[a1,a2,a3,a4,a6] |
Generators |
[30:32:1] [19:100:1] |
Generators of the group modulo torsion |
j |
-529278808969/11620000 |
j-invariant |
L |
5.6946453760484 |
L(r)(E,1)/r! |
Ω |
1.1312889865267 |
Real period |
R |
0.62922089800558 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5810a1 |
Quadratic twists by: -4 |