Atkin-Lehner |
3+ 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23865a |
Isogeny class |
Conductor |
23865 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-13245075 = -1 · 32 · 52 · 372 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 -3 -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9,-178] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] [8:18:1] |
Generators of the group modulo torsion |
j |
71991296/13245075 |
j-invariant |
L |
4.8939955171113 |
L(r)(E,1)/r! |
Ω |
1.0559857050518 |
Real period |
R |
0.57931602360937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71595g1 119325o1 |
Quadratic twists by: -3 5 |