Atkin-Lehner |
2- 3- 5- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
113220j |
Isogeny class |
Conductor |
113220 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
618411319650000 = 24 · 312 · 55 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162372,25154989] |
[a1,a2,a3,a4,a6] |
j |
40589118673567744/53018803125 |
j-invariant |
L |
5.1283960906721 |
L(r)(E,1)/r! |
Ω |
0.5128397053591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37740g1 |
Quadratic twists by: -3 |