Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450bq |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1299769980468750 = 2 · 310 · 510 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47817,3643591] |
[a1,a2,a3,a4,a6] |
Generators |
[59:983:1] |
Generators of the group modulo torsion |
j |
1061520150601/114108750 |
j-invariant |
L |
5.1334178737457 |
L(r)(E,1)/r! |
Ω |
0.46836101172961 |
Real period |
R |
1.3700483563386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bv2 14490bn2 |
Quadratic twists by: -3 5 |