Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547t |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-298138045924473363 = -1 · 38 · 714 · 67 |
Discriminant |
Eigenvalues |
2 3- 0 7- -2 4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-30135,26347459] |
[a1,a2,a3,a4,a6] |
Generators |
[35152166:901528709:54872] |
Generators of the group modulo torsion |
j |
-35287552000/3476175003 |
j-invariant |
L |
11.077534862398 |
L(r)(E,1)/r! |
Ω |
0.25248299490944 |
Real period |
R |
10.968595000201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9849h1 4221h1 |
Quadratic twists by: -3 -7 |