Atkin-Lehner |
2- 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
46800fb |
Isogeny class |
Conductor |
46800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1720320 |
Modular degree for the optimal curve |
Δ |
1.00615716864E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1162875,-7793750] |
[a1,a2,a3,a4,a6] |
Generators |
[-825:19750:1] [-346:18792:1] |
Generators of the group modulo torsion |
j |
29819839301/17252352 |
j-invariant |
L |
8.1592844392372 |
L(r)(E,1)/r! |
Ω |
0.15935684818193 |
Real period |
R |
12.800335430083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5850by1 15600cr1 46800fo1 |
Quadratic twists by: -4 -3 5 |