Atkin-Lehner |
2- 3- 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390cb |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
Δ |
-5.8132232666016E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2182513,-3452555401] |
[a1,a2,a3,a4,a6] |
Generators |
[2457:128146:1] |
Generators of the group modulo torsion |
j |
1577127803460832077911/7974243164062500000 |
j-invariant |
L |
9.3901875624284 |
L(r)(E,1)/r! |
Ω |
0.067827320405458 |
Real period |
R |
1.384425553708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26130k3 |
Quadratic twists by: -3 |