Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bb |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
69809040 = 24 · 38 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1134,14980] |
[a1,a2,a3,a4,a6] |
Generators |
[24:22:1] |
Generators of the group modulo torsion |
j |
221335335649/95760 |
j-invariant |
L |
3.5952347600987 |
L(r)(E,1)/r! |
Ω |
1.9186111468196 |
Real period |
R |
1.8738735913519 |
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 |
95760ep1 3990q1 59850ev1 83790bh1 |
Quadratic twists by: -4 -3 5 -7 |