Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390i |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6954742570577840640 = 29 · 32 · 5 · 76 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-513888,63078912] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:11217:1] |
Generators of the group modulo torsion |
j |
127568139540190201/59114336463360 |
j-invariant |
L |
3.9932638154832 |
L(r)(E,1)/r! |
Ω |
0.21136201545484 |
Real period |
R |
3.1488343249574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998623 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1110h4 |
Quadratic twists by: -7 |