Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
63900w |
Isogeny class |
Conductor |
63900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-676297172448000 = -1 · 28 · 310 · 53 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3981720,-3058117900] |
[a1,a2,a3,a4,a6] |
Generators |
[3454675:339305805:343] |
Generators of the group modulo torsion |
j |
-299266672793526272/28990791 |
j-invariant |
L |
5.4330701269029 |
L(r)(E,1)/r! |
Ω |
0.053438206928169 |
Real period |
R |
8.472511896042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21300h1 63900v1 |
Quadratic twists by: -3 5 |