Atkin-Lehner |
2+ 3+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
35784d |
Isogeny class |
Conductor |
35784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2944 |
Modular degree for the optimal curve |
Δ |
-214704 = -1 · 24 · 33 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -1 1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
-55296/497 |
j-invariant |
L |
7.5175201370614 |
L(r)(E,1)/r! |
Ω |
1.3352329741814 |
Real period |
R |
1.4075296750497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71568c1 35784r1 |
Quadratic twists by: -4 -3 |