Atkin-Lehner |
2- 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114444c |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37158912 |
Modular degree for the optimal curve |
Δ |
-2.2142366578369E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 5 11+ 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5923344,226464715348] |
[a1,a2,a3,a4,a6] |
Generators |
[2123681230987275225677147786556871:220152494616623239798762463376198639:295237095930273897542628434339] |
Generators of the group modulo torsion |
j |
-5102271397888/4915446963867 |
j-invariant |
L |
11.111465546982 |
L(r)(E,1)/r! |
Ω |
0.054762763718883 |
Real period |
R |
50.725460113832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38148o1 6732c1 |
Quadratic twists by: -3 17 |