Atkin-Lehner |
2+ 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64240f |
Isogeny class |
Conductor |
64240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-8788385576960 = -1 · 211 · 5 · 115 · 732 |
Discriminant |
Eigenvalues |
2+ -3 5- 5 11+ -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,413,142594] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:292:1] |
Generators of the group modulo torsion |
j |
3804029838/4291203895 |
j-invariant |
L |
5.0083814106031 |
L(r)(E,1)/r! |
Ω |
0.57293383760786 |
Real period |
R |
1.0927050126379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32120c1 |
Quadratic twists by: -4 |