Atkin-Lehner |
2- 3+ 37+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
118992l |
Isogeny class |
Conductor |
118992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-356976 = -1 · 24 · 32 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -6 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18,-9] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
38112512/22311 |
j-invariant |
L |
5.3380132788085 |
L(r)(E,1)/r! |
Ω |
1.7817077845815 |
Real period |
R |
1.4980047105853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999446039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29748b1 |
Quadratic twists by: -4 |