Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072o |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
677710240527168 = 26 · 311 · 173 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 -4 -7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23391,-564327] |
[a1,a2,a3,a4,a6] |
j |
22116106446593536/10589222508237 |
j-invariant |
L |
1.2143761080581 |
L(r)(E,1)/r! |
Ω |
0.40479205653268 |
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 |
75072bg1 37536i1 |
Quadratic twists by: -4 8 |