Atkin-Lehner |
2+ 7+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64792a |
Isogeny class |
Conductor |
64792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-572964152563712 = -1 · 211 · 73 · 13 · 894 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -1 13- -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18312,-639376] |
[a1,a2,a3,a4,a6] |
Generators |
[20260:389197:64] |
Generators of the group modulo torsion |
j |
331571643700750/279767652619 |
j-invariant |
L |
6.1508824236477 |
L(r)(E,1)/r! |
Ω |
0.28567077500854 |
Real period |
R |
5.3828418595622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129584d1 |
Quadratic twists by: -4 |