Atkin-Lehner |
2+ 3+ 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32214f |
Isogeny class |
Conductor |
32214 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
701513454096 = 24 · 32 · 72 · 134 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4804,119680] |
[a1,a2,a3,a4,a6] |
Generators |
[28:76:1] |
Generators of the group modulo torsion |
j |
12265180810295113/701513454096 |
j-invariant |
L |
4.5518807915798 |
L(r)(E,1)/r! |
Ω |
0.89071175098371 |
Real period |
R |
2.5551929603222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96642cb2 |
Quadratic twists by: -3 |