Atkin-Lehner |
2+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44198q |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13028400 |
Modular degree for the optimal curve |
Δ |
-1.3150894710356E+25 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,39468788,146062045770] |
[a1,a2,a3,a4,a6] |
Generators |
[4177:617431:1] |
Generators of the group modulo torsion |
j |
24071585634800534327/46555918640349184 |
j-invariant |
L |
1.2590801682264 |
L(r)(E,1)/r! |
Ω |
0.048851044253138 |
Real period |
R |
2.5773863946445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198d1 |
Quadratic twists by: -7 |