Atkin-Lehner |
2- 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240s |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
17651712 |
Modular degree for the optimal curve |
Δ |
4.9475921914863E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-367134825,2487267065277] |
[a1,a2,a3,a4,a6] |
j |
21377676161196115451103394816/1932653199799346923828125 |
j-invariant |
L |
1.7344179040213 |
L(r)(E,1)/r! |
Ω |
0.051012291316851 |
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 |
102480p1 |
Quadratic twists by: -4 |