Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300bn |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
83865600 |
Modular degree for the optimal curve |
Δ |
-5.18345879707E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831965700,35849507484625] |
[a1,a2,a3,a4,a6] |
j |
-349439858058052607328256/2844147488104248046875 |
j-invariant |
L |
3.0161788873322 |
L(r)(E,1)/r! |
Ω |
0.025134824210159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23100v1 13860p1 |
Quadratic twists by: -3 5 |