Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486h |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2912 |
Modular degree for the optimal curve |
Δ |
35578116 = 22 · 37 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3777,87771] |
[a1,a2,a3,a4,a6] |
Generators |
[27:66:1] |
Generators of the group modulo torsion |
j |
5958978974685073/35578116 |
j-invariant |
L |
4.6904508784898 |
L(r)(E,1)/r! |
Ω |
1.8353994594178 |
Real period |
R |
2.5555477062076 |
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 |
27888bi1 111552bd1 10458g1 87150bj1 |
Quadratic twists by: -4 8 -3 5 |