Atkin-Lehner |
2- 3- 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
124236t |
Isogeny class |
Conductor |
124236 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
-7.6233352382753E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7410033,-10779072138] |
[a1,a2,a3,a4,a6] |
Generators |
[1010943:33909526:729] |
Generators of the group modulo torsion |
j |
241110789289545781296/408486327496746149 |
j-invariant |
L |
9.3952640438416 |
L(r)(E,1)/r! |
Ω |
0.057223148841431 |
Real period |
R |
2.2803669545365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13804d1 |
Quadratic twists by: -3 |