Atkin-Lehner |
2- 3+ 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bx |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
3476160 |
Modular degree for the optimal curve |
Δ |
-1.1081515570996E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6513013,-8162473969] |
[a1,a2,a3,a4,a6] |
j |
-78218506030292634865/28368679861750932 |
j-invariant |
L |
1.6707425264362 |
L(r)(E,1)/r! |
Ω |
0.046409514629288 |
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 |
51150y1 |
Quadratic twists by: 5 |