Atkin-Lehner |
2+ 3- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5214a |
Isogeny class |
Conductor |
5214 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
711773568 = 27 · 34 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7495,249098] |
[a1,a2,a3,a4,a6] |
j |
46553820284328553/711773568 |
j-invariant |
L |
2.9392910988118 |
L(r)(E,1)/r! |
Ω |
1.4696455494059 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41712c2 15642h2 57354w2 |
Quadratic twists by: -4 -3 -11 |