Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144r |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
95232 |
Modular degree for the optimal curve |
Δ |
-116099536896 = -1 · 211 · 37 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 3 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4179,-105266] |
[a1,a2,a3,a4,a6] |
Generators |
[86:414:1] |
Generators of the group modulo torsion |
j |
-110328386/1587 |
j-invariant |
L |
4.4486618285308 |
L(r)(E,1)/r! |
Ω |
0.29664020390651 |
Real period |
R |
1.8746033792445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048w1 81144k1 |
Quadratic twists by: -3 -7 |