Atkin-Lehner |
2+ 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
40920l |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1706276712729600 = -1 · 210 · 38 · 52 · 11 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20080,-2262500] |
[a1,a2,a3,a4,a6] |
Generators |
[51015:2210300:27] |
Generators of the group modulo torsion |
j |
-874453074310084/1666285852275 |
j-invariant |
L |
4.191559321221 |
L(r)(E,1)/r! |
Ω |
0.18876185358927 |
Real period |
R |
5.551385570651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840bc3 122760bl3 |
Quadratic twists by: -4 -3 |