Atkin-Lehner |
3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225n |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-41785933917000375 = -1 · 39 · 53 · 198 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-307640,66485962] |
[a1,a2,a3,a4,a6] |
Generators |
[290:1118:1] |
Generators of the group modulo torsion |
j |
-27818127/361 |
j-invariant |
L |
3.7255050717042 |
L(r)(E,1)/r! |
Ω |
0.36306570174384 |
Real period |
R |
2.565310531348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81225l1 81225k1 4275b1 |
Quadratic twists by: -3 5 -19 |