Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65702v |
Isogeny class |
Conductor |
65702 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-9986704 = -1 · 24 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -3 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-321,-2353] |
[a1,a2,a3,a4,a6] |
Generators |
[21:16:1] |
Generators of the group modulo torsion |
j |
-533411731/1456 |
j-invariant |
L |
13.255265667106 |
L(r)(E,1)/r! |
Ω |
0.56385216220667 |
Real period |
R |
2.9385507752758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999693 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65702l1 |
Quadratic twists by: -19 |