Atkin-Lehner |
3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
44541i |
Isogeny class |
Conductor |
44541 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
263424 |
Modular degree for the optimal curve |
Δ |
-30309167639720403 = -1 · 36 · 79 · 1013 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 2 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,76210,2122264] |
[a1,a2,a3,a4,a6] |
j |
1664006625/1030301 |
j-invariant |
L |
1.3783861995531 |
L(r)(E,1)/r! |
Ω |
0.22973103320045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949b1 44541f1 |
Quadratic twists by: -3 -7 |