Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296de |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-34770039865344 = -1 · 221 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,944,283796] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1152:1] |
Generators of the group modulo torsion |
j |
62851031/23514624 |
j-invariant |
L |
7.1614132266074 |
L(r)(E,1)/r! |
Ω |
0.50731808592242 |
Real period |
R |
0.44113184527402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162q1 121296cc1 |
Quadratic twists by: -4 -19 |