Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100de |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-214455612576870000 = -1 · 24 · 312 · 54 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-290325,64201025] |
[a1,a2,a3,a4,a6] |
Generators |
[280:2205:1] |
Generators of the group modulo torsion |
j |
-3155449600/250047 |
j-invariant |
L |
6.5104944998554 |
L(r)(E,1)/r! |
Ω |
0.30953964693751 |
Real period |
R |
1.7527357599873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14700s1 44100cb1 6300bb1 |
Quadratic twists by: -3 5 -7 |