Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344fu |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-8952635562983424 = -1 · 216 · 314 · 134 |
Discriminant |
Eigenvalues |
2- 3- 3 4 -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196716,33889232] |
[a1,a2,a3,a4,a6] |
Generators |
[208:1404:1] |
Generators of the group modulo torsion |
j |
-616966948/6561 |
j-invariant |
L |
9.2753326509062 |
L(r)(E,1)/r! |
Ω |
0.41318266055559 |
Real period |
R |
1.8707086747975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002565 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344co1 24336p1 32448cp1 97344gb1 |
Quadratic twists by: -4 8 -3 13 |