Atkin-Lehner |
2- 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65424m |
Isogeny class |
Conductor |
65424 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-337573469749248 = -1 · 222 · 310 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 1 3 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9160,-813996] |
[a1,a2,a3,a4,a6] |
Generators |
[166:-2304:1] |
Generators of the group modulo torsion |
j |
20749267623239/82415397888 |
j-invariant |
L |
6.4790562333973 |
L(r)(E,1)/r! |
Ω |
0.27408847854708 |
Real period |
R |
0.59096393509604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8178b1 |
Quadratic twists by: -4 |