Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954a |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-5129644077865216 = -1 · 28 · 75 · 137 · 19 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -1 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70589,8016581] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2699:1] |
Generators of the group modulo torsion |
j |
-8058944177649/1062740224 |
j-invariant |
L |
3.4195663198284 |
L(r)(E,1)/r! |
Ω |
0.41761475342643 |
Real period |
R |
1.0235409225119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458e1 |
Quadratic twists by: 13 |