Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376k |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-6432395068053504 = -1 · 211 · 318 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69312,7990740] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:2970:1] |
Generators of the group modulo torsion |
j |
-17981475160811906/3140817904323 |
j-invariant |
L |
7.6193875271627 |
L(r)(E,1)/r! |
Ω |
0.40682249068129 |
Real period |
R |
1.0405012425831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17688e2 106128g2 |
Quadratic twists by: -4 -3 |