Atkin-Lehner |
7+ 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
6097b |
Isogeny class |
Conductor |
6097 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1800 |
Modular degree for the optimal curve |
Δ |
-50489257 = -1 · 73 · 133 · 67 |
Discriminant |
Eigenvalues |
-1 -2 2 7+ 2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-427,3378] |
[a1,a2,a3,a4,a6] |
Generators |
[11:1:1] |
Generators of the group modulo torsion |
j |
-8611343303473/50489257 |
j-invariant |
L |
1.9442183118124 |
L(r)(E,1)/r! |
Ω |
2.0136530480236 |
Real period |
R |
0.32183934131067 |
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 |
97552j1 54873l1 42679b1 79261c1 |
Quadratic twists by: -4 -3 -7 13 |