Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936n |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
11162448 = 24 · 37 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2874,59303] |
[a1,a2,a3,a4,a6] |
Generators |
[19555:231784:125] |
Generators of the group modulo torsion |
j |
225079785472/957 |
j-invariant |
L |
8.1785784195763 |
L(r)(E,1)/r! |
Ω |
2.0003827057785 |
Real period |
R |
8.177013724384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999884 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22968f1 15312c1 |
Quadratic twists by: -4 -3 |