Atkin-Lehner |
2+ 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
75072bs |
Isogeny class |
Conductor |
75072 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-112081895424 = -1 · 217 · 37 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -4 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,-18337] |
[a1,a2,a3,a4,a6] |
Generators |
[41:144:1] |
Generators of the group modulo torsion |
j |
-384200066/855117 |
j-invariant |
L |
10.958759519129 |
L(r)(E,1)/r! |
Ω |
0.42414378035113 |
Real period |
R |
1.8455263838509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75072cm1 9384c1 |
Quadratic twists by: -4 8 |