Atkin-Lehner |
2+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
6958h |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-159483265783408 = -1 · 24 · 711 · 712 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 4 0 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,12519,285461] |
[a1,a2,a3,a4,a6] |
Generators |
[4782:74441:27] |
Generators of the group modulo torsion |
j |
1844124275447/1355585392 |
j-invariant |
L |
3.8963250976856 |
L(r)(E,1)/r! |
Ω |
0.36680079892162 |
Real period |
R |
2.655613829864 |
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 |
55664q1 62622cb1 994b1 |
Quadratic twists by: -4 -3 -7 |