Atkin-Lehner |
3+ 5+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
23115a |
Isogeny class |
Conductor |
23115 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3936 |
Modular degree for the optimal curve |
Δ |
624105 = 34 · 5 · 23 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-163,-872] |
[a1,a2,a3,a4,a6] |
Generators |
[-3896:2113:512] |
Generators of the group modulo torsion |
j |
483551781049/624105 |
j-invariant |
L |
3.5039656648466 |
L(r)(E,1)/r! |
Ω |
1.3351803774061 |
Real period |
R |
5.2486775931412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69345e1 115575h1 |
Quadratic twists by: -3 5 |