Atkin-Lehner |
2+ 3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
97680d |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6679509804000000 = -1 · 28 · 34 · 56 · 11 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- -4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-513316,141780880] |
[a1,a2,a3,a4,a6] |
Generators |
[505:3330:1] |
Generators of the group modulo torsion |
j |
-58430418515463797584/26091835171875 |
j-invariant |
L |
6.0366767001595 |
L(r)(E,1)/r! |
Ω |
0.41506895505858 |
Real period |
R |
1.8179740478988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999885362 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48840i2 |
Quadratic twists by: -4 |