Atkin-Lehner |
2- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850cj |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
600 |
Product of Tamagawa factors cp |
deg |
138240000 |
Modular degree for the optimal curve |
Δ |
-5.8923894210723E+28 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7380500938,-244328813644508] |
[a1,a2,a3,a4,a6] |
j |
-1606220241149825308027441/2128704136908800000 |
j-invariant |
L |
4.8861274465691 |
L(r)(E,1)/r! |
Ω |
0.0081435467538239 |
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 |
20570d1 9350f1 |
Quadratic twists by: 5 -11 |