Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072h |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-5996475498627072 = -1 · 230 · 33 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -3 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-136193,-19655679] |
[a1,a2,a3,a4,a6] |
j |
-1065740176698625/22874738688 |
j-invariant |
L |
0.74461196491903 |
L(r)(E,1)/r! |
Ω |
0.1241019911974 |
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 |
75072co1 2346k1 |
Quadratic twists by: -4 8 |