Atkin-Lehner |
2+ 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072b |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1416936554496 = -1 · 227 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 6 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11585,487233] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:824:1] |
Generators of the group modulo torsion |
j |
-656008386769/5405184 |
j-invariant |
L |
6.8910218056425 |
L(r)(E,1)/r! |
Ω |
0.85740264479967 |
Real period |
R |
4.0185447576283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072cu1 2346i1 |
Quadratic twists by: -4 8 |