Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
2829d |
Isogeny class |
Conductor |
2829 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
1756809 = 34 · 232 · 41 |
Discriminant |
Eigenvalues |
1 3+ -2 2 2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-61,-200] |
[a1,a2,a3,a4,a6] |
Generators |
[88:784:1] |
Generators of the group modulo torsion |
j |
25750777177/1756809 |
j-invariant |
L |
3.1930979261091 |
L(r)(E,1)/r! |
Ω |
1.7120006480403 |
Real period |
R |
1.8651265872849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45264s1 8487f1 70725p1 65067l1 |
Quadratic twists by: -4 -3 5 -23 |