Atkin-Lehner |
2- 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800bg |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
253952 |
Modular degree for the optimal curve |
Δ |
-11962806624000 = -1 · 28 · 33 · 53 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74415,-7815150] |
[a1,a2,a3,a4,a6] |
Generators |
[3925:245290:1] |
Generators of the group modulo torsion |
j |
-52746230454192/13845841 |
j-invariant |
L |
7.6810795789354 |
L(r)(E,1)/r! |
Ω |
0.14452653761141 |
Real period |
R |
6.6433124351826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109800d1 109800e1 |
Quadratic twists by: -3 5 |