Atkin-Lehner |
2+ 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590f |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-717671952360 = -1 · 23 · 36 · 5 · 114 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,990,-39204] |
[a1,a2,a3,a4,a6] |
Generators |
[25:14:1] [55:396:1] |
Generators of the group modulo torsion |
j |
147114332639/984460840 |
j-invariant |
L |
6.329428038416 |
L(r)(E,1)/r! |
Ω |
0.45026004362092 |
Real period |
R |
7.0286361493643 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4510k2 |
Quadratic twists by: -3 |