Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840o |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-3.954653486E+20 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- 1 1 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1465688,-670046384] |
[a1,a2,a3,a4,a6] |
Generators |
[3752:240100:1] |
Generators of the group modulo torsion |
j |
722603599520256/820654296875 |
j-invariant |
L |
2.7689887720469 |
L(r)(E,1)/r! |
Ω |
0.090903889618708 |
Real period |
R |
0.34614340082163 |
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 |
7840z1 15680y1 70560cx1 39200ch1 |
Quadratic twists by: -4 8 -3 5 |