Atkin-Lehner |
3+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128271a |
Isogeny class |
Conductor |
128271 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23063040 |
Modular degree for the optimal curve |
Δ |
4.8827217989478E+24 |
Discriminant |
Eigenvalues |
1 3+ -2 2 11+ 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-91214711,-318046891560] |
[a1,a2,a3,a4,a6] |
Generators |
[56771846081157930216678644160878798519116003880844917384816568:-27508040200548018599441167335401562470721872325518077303656983036:241906917708714808492191006258355400767010183232808912461] |
Generators of the group modulo torsion |
j |
17388345671060487020353/1011583801834263801 |
j-invariant |
L |
4.7252855108559 |
L(r)(E,1)/r! |
Ω |
0.049029605205241 |
Real period |
R |
96.37616886931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867g1 |
Quadratic twists by: 13 |