Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400ei |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1841761929600000000 = 213 · 313 · 58 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83973675,-296184851750] |
[a1,a2,a3,a4,a6] |
Generators |
[2502629030:-1212342658875:10648] |
Generators of the group modulo torsion |
j |
1403607530712116449/39475350 |
j-invariant |
L |
6.0082988028017 |
L(r)(E,1)/r! |
Ω |
0.049872801608014 |
Real period |
R |
15.059056762287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000544 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550bd2 22800cx2 13680bn2 |
Quadratic twists by: -4 -3 5 |