Atkin-Lehner |
2+ 3- 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880bb |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
52326782100230400 = 28 · 310 · 52 · 72 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-953260,-358381492] |
[a1,a2,a3,a4,a6] |
Generators |
[4571:301350:1] |
Generators of the group modulo torsion |
j |
374212518628718024656/204401492579025 |
j-invariant |
L |
9.1439842187723 |
L(r)(E,1)/r! |
Ω |
0.1527956225639 |
Real period |
R |
2.9922271545474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440f2 |
Quadratic twists by: -4 |