Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13050ba |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-228322800000000 = -1 · 210 · 39 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2995,-725003] |
[a1,a2,a3,a4,a6] |
Generators |
[179:2260:1] |
Generators of the group modulo torsion |
j |
9663597/742400 |
j-invariant |
L |
7.3539519522869 |
L(r)(E,1)/r! |
Ω |
0.26587538688221 |
Real period |
R |
2.7659393517102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400da1 13050a1 2610a1 |
Quadratic twists by: -4 -3 5 |