Atkin-Lehner |
2- 3- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
114798z |
Isogeny class |
Conductor |
114798 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
171072 |
Modular degree for the optimal curve |
Δ |
-3635423408394 = -1 · 2 · 36 · 196 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -1 2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2339,80939] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:2179:8] |
Generators of the group modulo torsion |
j |
30080231/77274 |
j-invariant |
L |
11.723354150636 |
L(r)(E,1)/r! |
Ω |
0.5517411227276 |
Real period |
R |
1.7706604294056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
318c1 |
Quadratic twists by: -19 |