Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ee |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
-6.0098317885666E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3898475,2267122715] |
[a1,a2,a3,a4,a6] |
Generators |
[55182059:-4475931372:50653] |
Generators of the group modulo torsion |
j |
6398938035881268740096/5868976356022071915 |
j-invariant |
L |
10.424822951033 |
L(r)(E,1)/r! |
Ω |
0.087903583483556 |
Real period |
R |
11.859383333837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hj1 7140b1 |
Quadratic twists by: -4 8 |