Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6030h |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-8791740 = -1 · 22 · 38 · 5 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,45,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[8:23:1] |
Generators of the group modulo torsion |
j |
13651919/12060 |
j-invariant |
L |
2.6762526867342 |
L(r)(E,1)/r! |
Ω |
1.2738771228454 |
Real period |
R |
1.0504359638535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48240bj1 2010g1 30150ce1 |
Quadratic twists by: -4 -3 5 |