Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800cp |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-868020300000000 = -1 · 28 · 311 · 58 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17967,-1066437] |
[a1,a2,a3,a4,a6] |
Generators |
[318:6075:1] |
Generators of the group modulo torsion |
j |
3272428544/4428675 |
j-invariant |
L |
8.098806324904 |
L(r)(E,1)/r! |
Ω |
0.26613876760292 |
Real period |
R |
1.3832165961457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cm1 11760a1 58800a1 |
Quadratic twists by: -4 5 -7 |