Atkin-Lehner |
3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225a |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-9.7656945007324E+18 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 1 13- -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-125550,151324031] |
[a1,a2,a3,a4,a6] |
j |
-711643594752/31753515625 |
j-invariant |
L |
2.2882200043464 |
L(r)(E,1)/r! |
Ω |
0.19068495321065 |
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 |
108225b1 21645b1 |
Quadratic twists by: -3 5 |