Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bp |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
5990400 |
Modular degree for the optimal curve |
Δ |
-1.5918943835388E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13793011,-27523865167] |
[a1,a2,a3,a4,a6] |
j |
-2466679483983582473761/1353087900057600000 |
j-invariant |
L |
3.0555453991398 |
L(r)(E,1)/r! |
Ω |
0.038194317490015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7770bc1 |
Quadratic twists by: -7 |