Atkin-Lehner |
3- 7+ 23- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471m |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
519168 |
Modular degree for the optimal curve |
Δ |
-5070501634379139 = -1 · 319 · 74 · 23 · 79 |
Discriminant |
Eigenvalues |
0 3- -1 7+ 5 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11388,-3457755] |
[a1,a2,a3,a4,a6] |
Generators |
[305:4630:1] |
Generators of the group modulo torsion |
j |
-224046703968256/6955420623291 |
j-invariant |
L |
4.4651434124271 |
L(r)(E,1)/r! |
Ω |
0.18762993654269 |
Real period |
R |
2.9747008246662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157b1 |
Quadratic twists by: -3 |