Atkin-Lehner |
2+ 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
67896c |
Isogeny class |
Conductor |
67896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
30676660973991936 = 211 · 318 · 23 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98499,8400350] |
[a1,a2,a3,a4,a6] |
Generators |
[-174200:814025:512] |
Generators of the group modulo torsion |
j |
70788334707074/20547103383 |
j-invariant |
L |
7.1792629554602 |
L(r)(E,1)/r! |
Ω |
0.34513328564489 |
Real period |
R |
10.400710759851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22632e2 |
Quadratic twists by: -3 |