Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770bd |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
840 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-43520180256000 = -1 · 28 · 37 · 53 · 75 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1750,318500] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:350:1] |
Generators of the group modulo torsion |
j |
-592725168252001/43520180256000 |
j-invariant |
L |
7.5538562860081 |
L(r)(E,1)/r! |
Ω |
0.52889471446324 |
Real period |
R |
0.017002790553311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160bq1 23310m1 38850h1 54390bm1 |
Quadratic twists by: -4 -3 5 -7 |