Atkin-Lehner |
2+ 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bb |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-198804244565508750 = -1 · 2 · 32 · 54 · 73 · 616 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52638,-21954362] |
[a1,a2,a3,a4,a6] |
Generators |
[3224:180930:1] |
Generators of the group modulo torsion |
j |
-47023599627481807/579604211561250 |
j-invariant |
L |
6.4411872913775 |
L(r)(E,1)/r! |
Ω |
0.13550664853556 |
Real period |
R |
1.9805877137921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89670b2 |
Quadratic twists by: -7 |