Atkin-Lehner |
2+ 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150n |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2618880 |
Modular degree for the optimal curve |
Δ |
1.1154333696E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ -6 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10325575,-12774132875] |
[a1,a2,a3,a4,a6] |
j |
62335647567420704261/5711018852352 |
j-invariant |
L |
1.5159884077155 |
L(r)(E,1)/r! |
Ω |
0.084221578204876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150cs1 |
Quadratic twists by: 5 |