Atkin-Lehner |
3+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725w |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
813162240 |
Modular degree for the optimal curve |
Δ |
-3.0778181796971E+34 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11- -3 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,73663487975,-3468093122078750] |
[a1,a2,a3,a4,a6] |
j |
2829179631892964310284202090706031/1969803635006164888220808065625 |
j-invariant |
L |
0.35806170619832 |
L(r)(E,1)/r! |
Ω |
0.0066307673850608 |
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 |
21945u1 |
Quadratic twists by: 5 |