Atkin-Lehner |
2- 3- 5+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590by |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
2382255360 = 28 · 37 · 5 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 5 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1193,15977] |
[a1,a2,a3,a4,a6] |
Generators |
[15:28:1] |
Generators of the group modulo torsion |
j |
257380823881/3267840 |
j-invariant |
L |
10.902110915737 |
L(r)(E,1)/r! |
Ω |
1.4576042158052 |
Real period |
R |
0.23373352137542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530p1 |
Quadratic twists by: -3 |