Atkin-Lehner |
2+ 3- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109554o |
Isogeny class |
Conductor |
109554 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-37837279908464418 = -1 · 2 · 310 · 192 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82186,13024886] |
[a1,a2,a3,a4,a6] |
j |
-69173457625/42633378 |
j-invariant |
L |
3.3760979746109 |
L(r)(E,1)/r! |
Ω |
0.33760977924577 |
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 |
114b2 |
Quadratic twists by: -31 |