Atkin-Lehner |
2- 3+ 7+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38346i |
Isogeny class |
Conductor |
38346 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-875185866000052992 = -1 · 28 · 310 · 78 · 112 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20383,45015365] |
[a1,a2,a3,a4,a6] |
Generators |
[225:7090:1] |
Generators of the group modulo torsion |
j |
-936546525969216625/875185866000052992 |
j-invariant |
L |
6.8970043358564 |
L(r)(E,1)/r! |
Ω |
0.22671669503129 |
Real period |
R |
1.9013278705898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038h2 |
Quadratic twists by: -3 |