Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440ba |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
3796142112000 = 28 · 310 · 53 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27900,1782000] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-90:1] |
Generators of the group modulo torsion |
j |
9382356325137616/14828680125 |
j-invariant |
L |
7.0117922296767 |
L(r)(E,1)/r! |
Ω |
0.78533422587318 |
Real period |
R |
0.14880696648361 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880i2 103320o2 |
Quadratic twists by: -4 -3 |