Atkin-Lehner |
2- 3- 37+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
89244a |
Isogeny class |
Conductor |
89244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-260235504 = -1 · 24 · 38 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 -6 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,159,-83] |
[a1,a2,a3,a4,a6] |
Generators |
[34:207:8] |
Generators of the group modulo torsion |
j |
38112512/22311 |
j-invariant |
L |
6.1311580552344 |
L(r)(E,1)/r! |
Ω |
1.0286694690454 |
Real period |
R |
2.9801399961387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29748b1 |
Quadratic twists by: -3 |