Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49104bt |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
350208 |
Modular degree for the optimal curve |
Δ |
-64594738321293312 = -1 · 231 · 36 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,51741,-11357982] |
[a1,a2,a3,a4,a6] |
Generators |
[27405:405504:125] |
Generators of the group modulo torsion |
j |
5130275528223/21632647168 |
j-invariant |
L |
7.8238928796617 |
L(r)(E,1)/r! |
Ω |
0.17654023468062 |
Real period |
R |
1.8465792641689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6138c1 5456g1 |
Quadratic twists by: -4 -3 |