Atkin-Lehner |
2- 3+ 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
23370q |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1619821440 = -1 · 27 · 32 · 5 · 193 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 1 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-685,-7453] |
[a1,a2,a3,a4,a6] |
Generators |
[35:96:1] |
Generators of the group modulo torsion |
j |
-35549627253841/1619821440 |
j-invariant |
L |
8.2583207352781 |
L(r)(E,1)/r! |
Ω |
0.46536008214037 |
Real period |
R |
0.42252589278592 |
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 |
70110o1 116850bk1 |
Quadratic twists by: -3 5 |