Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328bj |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
849920 |
Modular degree for the optimal curve |
Δ |
-2534812333641728 = -1 · 212 · 73 · 715 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 1 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,32564,-867104] |
[a1,a2,a3,a4,a6] |
Generators |
[56:1064:1] [261:5041:1] |
Generators of the group modulo torsion |
j |
2718209226816/1804229351 |
j-invariant |
L |
5.8763221920425 |
L(r)(E,1)/r! |
Ω |
0.2601291051416 |
Real period |
R |
1.1295010975274 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999947542 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328l1 111328bg1 |
Quadratic twists by: -4 -7 |