Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7896l |
Isogeny class |
Conductor |
7896 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1253282429952 = -1 · 210 · 312 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 7- -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1176,-56448] |
[a1,a2,a3,a4,a6] |
j |
-175798419556/1223908623 |
j-invariant |
L |
4.3416715629471 |
L(r)(E,1)/r! |
Ω |
0.36180596357892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15792c1 63168u1 23688o1 55272x1 |
Quadratic twists by: -4 8 -3 -7 |