Atkin-Lehner |
2- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
65758u |
Isogeny class |
Conductor |
65758 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
2648870043516928 = 225 · 76 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-684041,-217799527] |
[a1,a2,a3,a4,a6] |
j |
300872095888141441/22515023872 |
j-invariant |
L |
8.3004372659869 |
L(r)(E,1)/r! |
Ω |
0.1660087456643 |
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 |
1342c1 |
Quadratic twists by: -7 |