Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
65598h |
Isogeny class |
Conductor |
65598 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-43527684096 = -1 · 214 · 35 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 1 0 1 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8138,282044] |
[a1,a2,a3,a4,a6] |
Generators |
[93:529:1] |
Generators of the group modulo torsion |
j |
-70860474580561/51757056 |
j-invariant |
L |
6.1236194407612 |
L(r)(E,1)/r! |
Ω |
1.1303843075772 |
Real period |
R |
0.54172898541857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65598be1 |
Quadratic twists by: 29 |