Atkin-Lehner |
3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
423f |
Isogeny class |
Conductor |
423 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
102789 = 37 · 47 |
Discriminant |
Eigenvalues |
-2 3- 1 -3 -1 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-237,1404] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
1.0465381336009 |
L(r)(E,1)/r! |
Ω |
3.1909530364969 |
Real period |
R |
0.16398519840796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6768m1 27072ba1 141e1 10575i1 |
Quadratic twists by: -4 8 -3 5 |