Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280g |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-134267461778856960 = -1 · 210 · 311 · 5 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288363,-62154218] |
[a1,a2,a3,a4,a6] |
Generators |
[51407:11654928:1] |
Generators of the group modulo torsion |
j |
-3552342505518244/179863605135 |
j-invariant |
L |
3.8963364669628 |
L(r)(E,1)/r! |
Ω |
0.10270833083893 |
Real period |
R |
3.1613278390186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560i1 66240ct1 2760j1 41400bj1 |
Quadratic twists by: -4 8 -3 5 |