Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bf |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
8 |
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 |
[22:64:1] [36:216:1] |
Generators of the group modulo torsion |
j |
351/4 |
j-invariant |
L |
10.569234988628 |
L(r)(E,1)/r! |
Ω |
0.51233832400357 |
Real period |
R |
2.5786756752515 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344ev1 3042l1 10816b1 97344bn1 |
Quadratic twists by: -4 8 -3 13 |