Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41327d |
Isogeny class |
Conductor |
41327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11410944 |
Modular degree for the optimal curve |
Δ |
-1.2875531518968E+23 |
Discriminant |
Eigenvalues |
2 -2 4 3 11+ 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3918936,-17521618617] |
[a1,a2,a3,a4,a6] |
Generators |
[291184863410330431453502161657090748182436405280:-20365438954987537943781027193626434785657539710571:48337635669974421132378398562459488079872000] |
Generators of the group modulo torsion |
j |
-56129095503872/1085737589651 |
j-invariant |
L |
11.968461253027 |
L(r)(E,1)/r! |
Ω |
0.04489558180632 |
Real period |
R |
66.646097296714 |
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 |
41327m1 |
Quadratic twists by: 17 |