Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49368i |
Isogeny class |
Conductor |
49368 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-152601372547329024 = -1 · 210 · 318 · 113 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4352,-18796560] |
[a1,a2,a3,a4,a6] |
Generators |
[595:13770:1] |
Generators of the group modulo torsion |
j |
-6689784812/111964521321 |
j-invariant |
L |
9.7026105636324 |
L(r)(E,1)/r! |
Ω |
0.14800480127684 |
Real period |
R |
1.8210014660036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736b2 49368bc2 |
Quadratic twists by: -4 -11 |