Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400da |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-19507500000000 = -1 · 28 · 33 · 510 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63333,-6159537] |
[a1,a2,a3,a4,a6] |
Generators |
[627:14178:1] |
Generators of the group modulo torsion |
j |
-11237785600/7803 |
j-invariant |
L |
6.875160703658 |
L(r)(E,1)/r! |
Ω |
0.15046773624728 |
Real period |
R |
3.8076605186419 |
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 |
5100c1 81600fj1 61200fk1 20400co1 |
Quadratic twists by: -4 8 -3 5 |