Atkin-Lehner |
3- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35217i |
Isogeny class |
Conductor |
35217 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-6448857907401 = -1 · 37 · 74 · 134 · 43 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4639,-12774] |
[a1,a2,a3,a4,a6] |
Generators |
[6:120:1] [8:153:1] |
Generators of the group modulo torsion |
j |
15148061700407/8846169969 |
j-invariant |
L |
5.0398543581213 |
L(r)(E,1)/r! |
Ω |
0.44338338834731 |
Real period |
R |
2.8417022889075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11739f4 |
Quadratic twists by: -3 |