Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
29400db |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
3.02582874888E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -4 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5302208,4693610412] |
[a1,a2,a3,a4,a6] |
Generators |
[8986:99225:8] |
Generators of the group modulo torsion |
j |
3574536770/6561 |
j-invariant |
L |
4.4721509174403 |
L(r)(E,1)/r! |
Ω |
0.20914724863979 |
Real period |
R |
1.1879325707726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800ea1 88200dg1 29400bf1 29400eo1 |
Quadratic twists by: -4 -3 5 -7 |