Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
98397w |
Isogeny class |
Conductor |
98397 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-25177725963 = -1 · 311 · 132 · 292 |
Discriminant |
Eigenvalues |
0 3- -4 1 -4 13- -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,348,-7214] |
[a1,a2,a3,a4,a6] |
Generators |
[64:526:1] |
Generators of the group modulo torsion |
j |
7602176/41067 |
j-invariant |
L |
2.838229909838 |
L(r)(E,1)/r! |
Ω |
0.59904224085475 |
Real period |
R |
0.59224327656191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999776465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32799d1 98397ba1 |
Quadratic twists by: -3 29 |