Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ey |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
1050 |
Product of Tamagawa factors cp |
deg |
6048000 |
Modular degree for the optimal curve |
Δ |
-1.4378754822799E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -2 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19039405,31975155653] |
[a1,a2,a3,a4,a6] |
Generators |
[476:151725:1] |
Generators of the group modulo torsion |
j |
-11926249134908509075308544/2246680441062421875 |
j-invariant |
L |
10.241851685647 |
L(r)(E,1)/r! |
Ω |
0.17811927712772 |
Real period |
R |
0.054761868754339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854784 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114240hb1 1785d1 |
Quadratic twists by: -4 8 |