Atkin-Lehner |
2- 3+ 13+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
38454g |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-24903403352066304 = -1 · 28 · 312 · 135 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 -3 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9861,-7606005] |
[a1,a2,a3,a4,a6] |
Generators |
[217:620:1] |
Generators of the group modulo torsion |
j |
-106044791152590289/24903403352066304 |
j-invariant |
L |
5.3527674702152 |
L(r)(E,1)/r! |
Ω |
0.16869845516983 |
Real period |
R |
1.9831122137521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115362d1 |
Quadratic twists by: -3 |