Atkin-Lehner |
2- 3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900u |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-669060000000 = -1 · 28 · 34 · 57 · 7 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -5 -2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1092,37188] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-150:1] |
Generators of the group modulo torsion |
j |
35969456/167265 |
j-invariant |
L |
5.9005425167412 |
L(r)(E,1)/r! |
Ω |
0.65128859706588 |
Real period |
R |
0.1887457717486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24780d1 |
Quadratic twists by: 5 |