Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
7840v |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-14757890560 = -1 · 29 · 5 · 78 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -3 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-10760] |
[a1,a2,a3,a4,a6] |
Generators |
[34:50:1] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
2.8744686176024 |
L(r)(E,1)/r! |
Ω |
0.44276304672106 |
Real period |
R |
3.2460575006085 |
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 |
7840g1 15680a1 70560s1 39200c1 |
Quadratic twists by: -4 8 -3 5 |