Atkin-Lehner |
2+ 3+ 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920k |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1507001760000 = 28 · 34 · 54 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4300,92500] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:440:1] |
Generators of the group modulo torsion |
j |
34355012299216/5886725625 |
j-invariant |
L |
4.3984948134202 |
L(r)(E,1)/r! |
Ω |
0.8095013380709 |
Real period |
R |
1.3583963999074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81840bg2 122760bs2 |
Quadratic twists by: -4 -3 |