Atkin-Lehner |
2+ 3- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150w |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9408000 |
Modular degree for the optimal curve |
Δ |
-7.6599126736694E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14309667,-21252629259] |
[a1,a2,a3,a4,a6] |
Generators |
[1274374507085595:105227552889904491:144785828251] |
Generators of the group modulo torsion |
j |
-28448852731909216489/672475186714464 |
j-invariant |
L |
3.7774435557084 |
L(r)(E,1)/r! |
Ω |
0.038757453794278 |
Real period |
R |
24.365916655405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43050bt1 5166bh1 |
Quadratic twists by: -3 5 |