Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bm |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1498928542285824 = -1 · 215 · 36 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -2 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,1863056] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-1352:1] [170:2536:1] |
Generators of the group modulo torsion |
j |
-8/13 |
j-invariant |
L |
9.9633477871429 |
L(r)(E,1)/r! |
Ω |
0.38443404215316 |
Real period |
R |
1.6198077392378 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bl1 48672o1 10816e1 7488l1 |
Quadratic twists by: -4 8 -3 13 |