Atkin-Lehner |
3+ 5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23115a |
Isogeny class |
Conductor |
23115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
534303225 = 32 · 52 · 232 · 672 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-208,-413] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:263:8] |
Generators of the group modulo torsion |
j |
1002702430729/534303225 |
j-invariant |
L |
3.5039656648466 |
L(r)(E,1)/r! |
Ω |
1.3351803774061 |
Real period |
R |
2.6243387965706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69345e2 115575h2 |
Quadratic twists by: -3 5 |