Atkin-Lehner |
3+ 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
90525d |
Isogeny class |
Conductor |
90525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1718560546875 = -1 · 36 · 59 · 17 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 3 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1117,61043] |
[a1,a2,a3,a4,a6] |
j |
9855401984/109987875 |
j-invariant |
L |
2.4744158998196 |
L(r)(E,1)/r! |
Ω |
0.61860397009003 |
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 |
18105g1 |
Quadratic twists by: 5 |