Atkin-Lehner |
2+ 11+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7106a |
Isogeny class |
Conductor |
7106 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
2970308 = 22 · 112 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11+ -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-55,-159] |
[a1,a2,a3,a4,a6] |
Generators |
[12:27:1] |
Generators of the group modulo torsion |
j |
18927429625/2970308 |
j-invariant |
L |
4.4642492747013 |
L(r)(E,1)/r! |
Ω |
1.7674823801172 |
Real period |
R |
1.2628836714076 |
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 |
56848m1 63954bb1 78166i1 120802d1 |
Quadratic twists by: -4 -3 -11 17 |