Atkin-Lehner |
2- 3+ 41+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104304g |
Isogeny class |
Conductor |
104304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
741888 |
Modular degree for the optimal curve |
Δ |
-61989546451009536 = -1 · 233 · 34 · 412 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -1 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146240,-24585216] |
[a1,a2,a3,a4,a6] |
j |
-84443314017879361/15134166614016 |
j-invariant |
L |
0.96711251493827 |
L(r)(E,1)/r! |
Ω |
0.12088908426674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13038e1 |
Quadratic twists by: -4 |