Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
96720bj |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-719449146164736000 = -1 · 212 · 320 · 53 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-298136,-74675664] |
[a1,a2,a3,a4,a6] |
Generators |
[197859928785372:-16395599705722656:28624534379] |
Generators of the group modulo torsion |
j |
-715498095288059929/175646764200375 |
j-invariant |
L |
4.7505700785347 |
L(r)(E,1)/r! |
Ω |
0.10085102150262 |
Real period |
R |
23.552414291803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6045j1 |
Quadratic twists by: -4 |