Atkin-Lehner |
2- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10220c |
Isogeny class |
Conductor |
10220 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
-71651602400000 = -1 · 28 · 55 · 75 · 732 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-407239] |
[a1,a2,a3,a4,a6] |
Generators |
[88:511:1] |
Generators of the group modulo torsion |
j |
-99672064/279889071875 |
j-invariant |
L |
3.5147747660012 |
L(r)(E,1)/r! |
Ω |
0.28176646796871 |
Real period |
R |
1.2474070429103 |
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 |
40880l1 91980bj1 51100g1 71540l1 |
Quadratic twists by: -4 -3 5 -7 |