Atkin-Lehner |
7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4949f |
Isogeny class |
Conductor |
4949 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
336 |
Modular degree for the optimal curve |
Δ |
-4949 = -1 · 72 · 101 |
Discriminant |
Eigenvalues |
-1 -1 3 7- 4 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29,48] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-1:1] |
Generators of the group modulo torsion |
j |
-55164193/101 |
j-invariant |
L |
2.5133894895521 |
L(r)(E,1)/r! |
Ω |
4.3247922979228 |
Real period |
R |
0.58115842713632 |
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 |
79184y1 44541e1 123725n1 4949a1 |
Quadratic twists by: -4 -3 5 -7 |