Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23940f |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-5630688000 = -1 · 28 · 33 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,408,-1724] |
[a1,a2,a3,a4,a6] |
Generators |
[5:21:1] |
Generators of the group modulo torsion |
j |
1086676992/814625 |
j-invariant |
L |
5.6447224353969 |
L(r)(E,1)/r! |
Ω |
0.75644266956141 |
Real period |
R |
1.2436991069153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
95760cp1 23940c2 119700f1 |
Quadratic twists by: -4 -3 5 |