Atkin-Lehner |
2+ 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072t |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
20419584 = 210 · 3 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -4 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69,69] |
[a1,a2,a3,a4,a6] |
j |
35995648/19941 |
j-invariant |
L |
1.8731749350537 |
L(r)(E,1)/r! |
Ω |
1.8731750090594 |
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 |
75072dh1 4692d1 |
Quadratic twists by: -4 8 |