Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970cg |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
94006598490000 = 24 · 312 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40037,-3037939] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:234:1] |
Generators of the group modulo torsion |
j |
9735776569434889/128952810000 |
j-invariant |
L |
7.1919732308042 |
L(r)(E,1)/r! |
Ω |
0.33777934660209 |
Real period |
R |
1.3307454450576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760ex2 3990m2 59850bh2 83790es2 |
Quadratic twists by: -4 -3 5 -7 |