Atkin-Lehner |
2- 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240lb |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
-9.4105521555469E+18 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,517020,-36007650] |
[a1,a2,a3,a4,a6] |
Generators |
[105:4410:1] [1365:56700:1] |
Generators of the group modulo torsion |
j |
238816829348755096256/147039877430420625 |
j-invariant |
L |
14.641215395555 |
L(r)(E,1)/r! |
Ω |
0.13318095712517 |
Real period |
R |
2.2903073185509 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hd1 57120bn2 |
Quadratic twists by: -4 8 |