Atkin-Lehner |
7- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35819h |
Isogeny class |
Conductor |
35819 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19680 |
Modular degree for the optimal curve |
Δ |
-128640464057 = -1 · 72 · 175 · 432 |
Discriminant |
Eigenvalues |
-1 1 0 7- 5 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,867,14258] |
[a1,a2,a3,a4,a6] |
Generators |
[337:6045:1] |
Generators of the group modulo torsion |
j |
1470799985375/2625315593 |
j-invariant |
L |
4.230592554314 |
L(r)(E,1)/r! |
Ω |
0.7151054660353 |
Real period |
R |
0.59160400182219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35819b1 |
Quadratic twists by: -7 |