Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68970bh |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
3840000 |
Modular degree for the optimal curve |
Δ |
-7.6958679590148E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3300278,-2666132152] |
[a1,a2,a3,a4,a6] |
Generators |
[3024:121000:1] |
Generators of the group modulo torsion |
j |
-2243980016705847601/434411683200000 |
j-invariant |
L |
7.5066912000727 |
L(r)(E,1)/r! |
Ω |
0.055425784781155 |
Real period |
R |
1.3543680490091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270r1 |
Quadratic twists by: -11 |