Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547v |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
-557410115849629707 = -1 · 38 · 710 · 673 |
Discriminant |
Eigenvalues |
-2 3- 4 7- 2 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1740333,884413066] |
[a1,a2,a3,a4,a6] |
Generators |
[595:7717:1] |
Generators of the group modulo torsion |
j |
-6796808121217024/6499187667 |
j-invariant |
L |
3.7210147121767 |
L(r)(E,1)/r! |
Ω |
0.28995538570436 |
Real period |
R |
3.2082648707642 |
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 |
9849g1 4221c1 |
Quadratic twists by: -3 -7 |