Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600bu |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1245197016000000000 = 212 · 33 · 59 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-824833,283567537] |
[a1,a2,a3,a4,a6] |
Generators |
[341:6468:1] |
Generators of the group modulo torsion |
j |
65939264/1323 |
j-invariant |
L |
6.8880569002169 |
L(r)(E,1)/r! |
Ω |
0.27267191440109 |
Real period |
R |
3.1576670336671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999699872 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ic2 117600hz2 16800z2 |
Quadratic twists by: -4 5 -7 |