Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cg |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14495533290 = 2 · 32 · 5 · 76 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2500,-48805] |
[a1,a2,a3,a4,a6] |
Generators |
[12930:24395:216] |
Generators of the group modulo torsion |
j |
14688124849/123210 |
j-invariant |
L |
8.2782129300478 |
L(r)(E,1)/r! |
Ω |
0.67551251601262 |
Real period |
R |
6.1273571797824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110o2 |
Quadratic twists by: -7 |