Atkin-Lehner |
2+ 3- 7- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
37506o |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-539505654426772992 = -1 · 29 · 34 · 79 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-672911,-215438398] |
[a1,a2,a3,a4,a6] |
Generators |
[1830:-69344:1] |
Generators of the group modulo torsion |
j |
-33697343696782696827625/539505654426772992 |
j-invariant |
L |
5.6804330332103 |
L(r)(E,1)/r! |
Ω |
0.083265904152174 |
Real period |
R |
0.6316703420794 |
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 |
112518bl2 |
Quadratic twists by: -3 |