Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cj |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
622150167634034688 = 214 · 311 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5629404,5140790512] |
[a1,a2,a3,a4,a6] |
Generators |
[-814:95832:1] |
Generators of the group modulo torsion |
j |
932410994128/29403 |
j-invariant |
L |
7.6284725371208 |
L(r)(E,1)/r! |
Ω |
0.2694335410026 |
Real period |
R |
1.7695626600713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696gi2 4356g2 23232ce2 6336m2 |
Quadratic twists by: -4 8 -3 -11 |