Atkin-Lehner |
3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225h |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1764720 |
Modular degree for the optimal curve |
Δ |
-6.4663589437745E+19 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,-386890469] |
[a1,a2,a3,a4,a6] |
Generators |
[1917175:36604489:2197] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
5.2238431495278 |
L(r)(E,1)/r! |
Ω |
0.089970550108159 |
Real period |
R |
9.6769501133204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81225h2 81225c1 81225f1 |
Quadratic twists by: -3 5 -19 |