Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680bt |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-8028160 = -1 · 215 · 5 · 72 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- -3 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[37:216:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
7.1773996055113 |
L(r)(E,1)/r! |
Ω |
0.8283338121772 |
Real period |
R |
2.1662159325134 |
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 |
15680bw1 7840f1 78400cu1 15680c1 |
Quadratic twists by: -4 8 5 -7 |