Atkin-Lehner |
2- 3+ 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680by |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-258889509120 = -1 · 28 · 3 · 5 · 113 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,540,23820] |
[a1,a2,a3,a4,a6] |
Generators |
[137:1628:1] |
Generators of the group modulo torsion |
j |
67898554544/1011287145 |
j-invariant |
L |
6.9201273178531 |
L(r)(E,1)/r! |
Ω |
0.72948655303253 |
Real period |
R |
1.0540331873048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24420o2 |
Quadratic twists by: -4 |