Atkin-Lehner |
2+ 3+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650h |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-3.2972094726563E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -5 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,671225,-177264875] |
[a1,a2,a3,a4,a6] |
j |
2140459652555428751/2110214062500000 |
j-invariant |
L |
0.67811649559237 |
L(r)(E,1)/r! |
Ω |
0.11301951170978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530bh1 |
Quadratic twists by: 5 |