Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bx |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
23768305648272900 = 22 · 38 · 52 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-425015,106213097] |
[a1,a2,a3,a4,a6] |
Generators |
[12308:353789:64] |
Generators of the group modulo torsion |
j |
4792702134385801/13416588900 |
j-invariant |
L |
8.4334507728129 |
L(r)(E,1)/r! |
Ω |
0.38050411286166 |
Real period |
R |
5.5409721523004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290f2 |
Quadratic twists by: -11 |