Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33810dg |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1163765084160 = -1 · 212 · 3 · 5 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1420,47760] |
[a1,a2,a3,a4,a6] |
Generators |
[12:252:1] |
Generators of the group modulo torsion |
j |
2691419471/9891840 |
j-invariant |
L |
11.009561618406 |
L(r)(E,1)/r! |
Ω |
0.61631144416605 |
Real period |
R |
2.9772722115909 |
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 |
101430bo1 4830t1 |
Quadratic twists by: -3 -7 |