Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
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] |
j |
238816829348755096256/147039877430420625 |
j-invariant |
L |
2.2752480670544 |
L(r)(E,1)/r! |
Ω |
0.14220307084704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240lb1 57120by2 |
Quadratic twists by: -4 8 |