Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
61800n |
Isogeny class |
Conductor |
61800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1833235200 = -1 · 28 · 33 · 52 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5993,-180597] |
[a1,a2,a3,a4,a6] |
Generators |
[94:309:1] |
Generators of the group modulo torsion |
j |
-3720052218880/286443 |
j-invariant |
L |
6.1365567522327 |
L(r)(E,1)/r! |
Ω |
0.27130040651673 |
Real period |
R |
1.884920615816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000588 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123600g1 61800c1 |
Quadratic twists by: -4 5 |