Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
31800u |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92800 |
Modular degree for the optimal curve |
Δ |
-6439500000000 = -1 · 28 · 35 · 59 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -6 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28833,1898037] |
[a1,a2,a3,a4,a6] |
Generators |
[92:125:1] |
Generators of the group modulo torsion |
j |
-5301982208/12879 |
j-invariant |
L |
4.6765620346708 |
L(r)(E,1)/r! |
Ω |
0.75383188562879 |
Real period |
R |
1.5509300295682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63600bb1 95400s1 31800p1 |
Quadratic twists by: -4 -3 5 |