Atkin-Lehner |
2+ 3- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616l |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-551190528 = -1 · 215 · 33 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29569,-1966945] |
[a1,a2,a3,a4,a6] |
Generators |
[227:1752:1] |
Generators of the group modulo torsion |
j |
-87256618073864/16821 |
j-invariant |
L |
7.6385255258094 |
L(r)(E,1)/r! |
Ω |
0.18203679087144 |
Real period |
R |
3.4967865262878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999404525 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119616f1 59808e1 |
Quadratic twists by: -4 8 |