Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bi |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
25018368750000 = 24 · 36 · 58 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-39338,2977031] |
[a1,a2,a3,a4,a6] |
Generators |
[75:637:1] |
Generators of the group modulo torsion |
j |
430864987260889/1601175600 |
j-invariant |
L |
9.3454107124579 |
L(r)(E,1)/r! |
Ω |
0.67456692827451 |
Real period |
R |
0.86587133914144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690k2 |
Quadratic twists by: 5 |