Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840z |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
44 |
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] |
j |
722603599520256/820654296875 |
j-invariant |
L |
4.9432770303254 |
L(r)(E,1)/r! |
Ω |
0.11234720523467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7840o1 15680bc1 70560w1 39200s1 |
Quadratic twists by: -4 8 -3 5 |