Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368p |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-42539996016 = -1 · 24 · 36 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- -2 4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,441,-9261] |
[a1,a2,a3,a4,a6] |
Generators |
[15:27:1] |
Generators of the group modulo torsion |
j |
6912/31 |
j-invariant |
L |
4.7379033470689 |
L(r)(E,1)/r! |
Ω |
0.57684613263238 |
Real period |
R |
2.053365319268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999448365 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12152e1 2232g1 |
Quadratic twists by: -3 -7 |