Atkin-Lehner |
2+ 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
22968i |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
18974104851981312 = 210 · 39 · 113 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 11+ -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-87627,7467190] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:4176:1] |
Generators of the group modulo torsion |
j |
99680465505316/25417557297 |
j-invariant |
L |
3.4471757376948 |
L(r)(E,1)/r! |
Ω |
0.36188541305035 |
Real period |
R |
2.3814000325673 |
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 |
45936u1 7656i1 |
Quadratic twists by: -4 -3 |