Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880br |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
722964480 = 212 · 3 · 5 · 7 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15061760,22503942720] |
[a1,a2,a3,a4,a6] |
Generators |
[3082:73138:1] [3841:145960:1] |
Generators of the group modulo torsion |
j |
92255222857130255543041/176505 |
j-invariant |
L |
8.9588738452791 |
L(r)(E,1)/r! |
Ω |
0.49760744974374 |
Real period |
R |
36.007796305667 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4305m5 |
Quadratic twists by: -4 |