Atkin-Lehner |
2- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
6230g |
Isogeny class |
Conductor |
6230 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-49840000000 = -1 · 210 · 57 · 7 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -5 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2965,62817] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-537:1] |
Generators of the group modulo torsion |
j |
-2882749860542161/49840000000 |
j-invariant |
L |
4.1496768062027 |
L(r)(E,1)/r! |
Ω |
1.1292671296053 |
Real period |
R |
0.052495194163834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49840s1 56070h1 31150e1 43610x1 |
Quadratic twists by: -4 -3 5 -7 |