Atkin-Lehner |
2+ 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
75072k |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
21008223552 = 26 · 3 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 0 3 0 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16623,-819375] |
[a1,a2,a3,a4,a6] |
j |
7937762099392000/328253493 |
j-invariant |
L |
2.1022826887539 |
L(r)(E,1)/r! |
Ω |
0.42045653205548 |
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 |
75072bc1 37536bb1 |
Quadratic twists by: -4 8 |