Atkin-Lehner |
2+ 5+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
104720d |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
54528 |
Modular degree for the optimal curve |
Δ |
-460768000 = -1 · 28 · 53 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-561,5035] |
[a1,a2,a3,a4,a6] |
Generators |
[14:11:1] |
Generators of the group modulo torsion |
j |
-76409304064/1799875 |
j-invariant |
L |
4.1794254116764 |
L(r)(E,1)/r! |
Ω |
1.6638449518517 |
Real period |
R |
1.255953998465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999317337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52360b1 |
Quadratic twists by: -4 |