Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840r |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10541350400000 = -1 · 212 · 55 · 77 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 7 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1699,153301] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:196:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
3.137026319581 |
L(r)(E,1)/r! |
Ω |
0.53883698051329 |
Real period |
R |
1.4554616855513 |
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 |
7840c1 15680bn1 70560bo1 39200k1 |
Quadratic twists by: -4 8 -3 5 |