Atkin-Lehner |
3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59829c |
Isogeny class |
Conductor |
59829 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-3878534583 = -1 · 34 · 76 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,269,2584] |
[a1,a2,a3,a4,a6] |
Generators |
[552:3260:27] |
Generators of the group modulo torsion |
j |
18191447/32967 |
j-invariant |
L |
5.5050831862425 |
L(r)(E,1)/r! |
Ω |
0.95824106575946 |
Real period |
R |
5.7449877521153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221a1 |
Quadratic twists by: -7 |