Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
55860d |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55680 |
Modular degree for the optimal curve |
Δ |
-25025280 = -1 · 28 · 3 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3061,-64175] |
[a1,a2,a3,a4,a6] |
Generators |
[75:350:1] |
Generators of the group modulo torsion |
j |
-36134453248/285 |
j-invariant |
L |
5.3375490546097 |
L(r)(E,1)/r! |
Ω |
0.32091624239412 |
Real period |
R |
2.7720364119826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998706 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860bf1 |
Quadratic twists by: -7 |