Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
81312bc |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
112698432 = 26 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4858,-128720] |
[a1,a2,a3,a4,a6] |
Generators |
[1368:50512:1] |
Generators of the group modulo torsion |
j |
148877000000/1323 |
j-invariant |
L |
5.4112326035006 |
L(r)(E,1)/r! |
Ω |
0.57184451401446 |
Real period |
R |
4.7313845567553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312p1 81312a1 |
Quadratic twists by: -4 -11 |