Atkin-Lehner |
2+ 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968bj |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
128878171562448 = 24 · 310 · 7 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2264394,-1311523477] |
[a1,a2,a3,a4,a6] |
Generators |
[18347724312245197684763:-1057700795537173985748000:4614898060465862273] |
Generators of the group modulo torsion |
j |
62140690757632/6237 |
j-invariant |
L |
8.8704725065922 |
L(r)(E,1)/r! |
Ω |
0.12307265184299 |
Real period |
R |
36.037545088981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60984cg1 40656l1 11088v1 |
Quadratic twists by: -4 -3 -11 |