Atkin-Lehner |
2+ 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800h |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
54051840 |
Modular degree for the optimal curve |
Δ |
-1.5179141037665E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -6 0 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-616545833,5922399137037] |
[a1,a2,a3,a4,a6] |
Generators |
[37421:5937258:1] |
Generators of the group modulo torsion |
j |
-10367637521214755200000/60716564150661027 |
j-invariant |
L |
4.2041333173319 |
L(r)(E,1)/r! |
Ω |
0.058096117272072 |
Real period |
R |
9.0456417780204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121800ch1 |
Quadratic twists by: 5 |