Atkin-Lehner |
3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225k |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
-6.5290521745313E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 2 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7690992,8303054291] |
[a1,a2,a3,a4,a6] |
Generators |
[-329737150:37508344627:300763] |
Generators of the group modulo torsion |
j |
-27818127/361 |
j-invariant |
L |
8.8277540003178 |
L(r)(E,1)/r! |
Ω |
0.16236791787958 |
Real period |
R |
13.592207926714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225m1 81225n1 4275c1 |
Quadratic twists by: -3 5 -19 |