Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560bj |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1781760 |
Modular degree for the optimal curve |
Δ |
480710823120 = 24 · 310 · 5 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11908205,-15812792808] |
[a1,a2,a3,a4,a6] |
Generators |
[-68589628277479232708313596:-3771156142824503499990:34432536423483197939213] |
Generators of the group modulo torsion |
j |
11671929971048586285285376/30044426445 |
j-invariant |
L |
5.2556122510231 |
L(r)(E,1)/r! |
Ω |
0.081271443968593 |
Real period |
R |
32.333695526125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19140j1 |
Quadratic twists by: -4 |