Atkin-Lehner |
2+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2240i |
Isogeny class |
Conductor |
2240 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-52521875000000 = -1 · 26 · 511 · 75 |
Discriminant |
Eigenvalues |
2+ 3 5- 7+ 1 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7478,-244186] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
3.7414433108615 |
L(r)(E,1)/r! |
Ω |
0.34013121007832 |
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 |
2240n1 1120j1 20160z1 11200z1 |
Quadratic twists by: -4 8 -3 5 |