Atkin-Lehner |
3- 5+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
75525h |
Isogeny class |
Conductor |
75525 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-10621151318671875 = -1 · 39 · 57 · 194 · 53 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -4 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-207633,-36821356] |
[a1,a2,a3,a4,a6] |
Generators |
[1248:-40613:1] |
Generators of the group modulo torsion |
j |
-63357045175484416/679753684395 |
j-invariant |
L |
5.2778199454112 |
L(r)(E,1)/r! |
Ω |
0.11175516354451 |
Real period |
R |
0.65592543997793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15105a1 |
Quadratic twists by: 5 |