Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600dq |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2198016000000000 = 218 · 34 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -4 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-184208,30285588] |
[a1,a2,a3,a4,a6] |
Generators |
[322:2112:1] |
Generators of the group modulo torsion |
j |
86409510461/274752 |
j-invariant |
L |
8.0290216428045 |
L(r)(E,1)/r! |
Ω |
0.46428485452572 |
Real period |
R |
2.1616636759446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950bl1 63600cj1 |
Quadratic twists by: -4 5 |