Atkin-Lehner |
5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41405l |
Isogeny class |
Conductor |
41405 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5760593463285613225 = 52 · 710 · 138 |
Discriminant |
Eigenvalues |
1 0 5- 7- 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-593644,-132739125] |
[a1,a2,a3,a4,a6] |
Generators |
[6224296540050990:115962065852303789:5919918129000] |
Generators of the group modulo torsion |
j |
40743095121/10144225 |
j-invariant |
L |
6.7114649140704 |
L(r)(E,1)/r! |
Ω |
0.17513392457055 |
Real period |
R |
19.160950485524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5915a2 3185a2 |
Quadratic twists by: -7 13 |