Atkin-Lehner |
2- 3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7482d |
Isogeny class |
Conductor |
7482 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
35150436 = 22 · 35 · 292 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-237,-1395] |
[a1,a2,a3,a4,a6] |
j |
1472594839633/35150436 |
j-invariant |
L |
6.0926262264146 |
L(r)(E,1)/r! |
Ω |
1.2185252452829 |
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 |
59856j1 22446e1 |
Quadratic twists by: -4 -3 |