Atkin-Lehner |
7- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44051h |
Isogeny class |
Conductor |
44051 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
36277892693 = 79 · 29 · 31 |
Discriminant |
Eigenvalues |
-2 0 4 7- -1 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-833,1286] |
[a1,a2,a3,a4,a6] |
Generators |
[35:122:1] |
Generators of the group modulo torsion |
j |
543338496/308357 |
j-invariant |
L |
3.759783487634 |
L(r)(E,1)/r! |
Ω |
0.99548259765662 |
Real period |
R |
1.8884225080756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6293d1 |
Quadratic twists by: -7 |