Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200bg |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-60445656000 = -1 · 26 · 33 · 53 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1718,-30432] |
[a1,a2,a3,a4,a6] |
Generators |
[298:5100:1] |
Generators of the group modulo torsion |
j |
-70138418624/7555707 |
j-invariant |
L |
8.6075140216832 |
L(r)(E,1)/r! |
Ω |
0.36851869708783 |
Real period |
R |
3.8928436511431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999627 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200t1 110400ha1 55200cb1 |
Quadratic twists by: -4 8 5 |