Atkin-Lehner |
3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6897a |
Isogeny class |
Conductor |
6897 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5720 |
Modular degree for the optimal curve |
Δ |
-302936931 = -1 · 32 · 116 · 19 |
Discriminant |
Eigenvalues |
2 3+ -3 5 11- -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-282,-1915] |
[a1,a2,a3,a4,a6] |
Generators |
[810:7985:8] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
6.4140113453416 |
L(r)(E,1)/r! |
Ω |
0.57839810803281 |
Real period |
R |
5.5446337533471 |
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 |
110352cd1 20691s1 57a1 |
Quadratic twists by: -4 -3 -11 |