Atkin-Lehner |
2+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550be |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
-35378000000000 = -1 · 210 · 59 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- -2 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66701,6631048] |
[a1,a2,a3,a4,a6] |
Generators |
[202:1086:1] |
Generators of the group modulo torsion |
j |
-342914041253/369664 |
j-invariant |
L |
5.273896526782 |
L(r)(E,1)/r! |
Ω |
0.64965664704857 |
Real period |
R |
1.0147468956774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550cv1 46550bb1 |
Quadratic twists by: 5 -7 |