Atkin-Lehner |
2- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440s |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-109911973167104000 = -1 · 220 · 53 · 233 · 413 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -7 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-249136,50534336] |
[a1,a2,a3,a4,a6] |
Generators |
[200:-2944:1] |
Generators of the group modulo torsion |
j |
-417517774988138929/26833977824000 |
j-invariant |
L |
3.9391543410249 |
L(r)(E,1)/r! |
Ω |
0.32862408820537 |
Real period |
R |
0.99890079109083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9430g2 |
Quadratic twists by: -4 |