Atkin-Lehner |
2- 3- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
101232x |
Isogeny class |
Conductor |
101232 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
2.8149699806606E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 2 1 6 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8487291,-5041096022] |
[a1,a2,a3,a4,a6] |
Generators |
[-414547308475914913:20561358322711479402:390313384390441] |
Generators of the group modulo torsion |
j |
22643497811986095673/9427277509392384 |
j-invariant |
L |
10.485512037956 |
L(r)(E,1)/r! |
Ω |
0.091775157029042 |
Real period |
R |
28.563045756047 |
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 |
12654n1 33744m1 |
Quadratic twists by: -4 -3 |