Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050x |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-122617800000000 = -1 · 29 · 36 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 3 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95742,-11391084] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
0.2713881151915 |
L(r)(E,1)/r! |
Ω |
0.13569405759575 |
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 |
104400gb1 1450h1 13050bm1 |
Quadratic twists by: -4 -3 5 |