Atkin-Lehner |
7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4949d |
Isogeny class |
Conductor |
4949 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
11882549 = 76 · 101 |
Discriminant |
Eigenvalues |
0 2 1 7- -2 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-65,139] |
[a1,a2,a3,a4,a6] |
Generators |
[19:73:1] |
Generators of the group modulo torsion |
j |
262144/101 |
j-invariant |
L |
4.5359733225472 |
L(r)(E,1)/r! |
Ω |
2.0588175147639 |
Real period |
R |
1.1015967393952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184bc1 44541c1 123725l1 101a1 |
Quadratic twists by: -4 -3 5 -7 |