Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ev |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-129185611776 = -1 · 220 · 36 · 132 |
Discriminant |
Eigenvalues |
2- 3- 1 4 4 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,16848] |
[a1,a2,a3,a4,a6] |
Generators |
[108:1152:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
9.3760006692776 |
L(r)(E,1)/r! |
Ω |
0.76791153816056 |
Real period |
R |
3.0524351463391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955578 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344bf1 24336bo1 10816z1 97344ez1 |
Quadratic twists by: -4 8 -3 13 |