Atkin-Lehner |
3+ 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635n |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
841850625 = 3 · 54 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 11+ 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-420,-3180] |
[a1,a2,a3,a4,a6] |
j |
8194759433281/841850625 |
j-invariant |
L |
1.0615785043512 |
L(r)(E,1)/r! |
Ω |
1.0615785043512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58905z1 98175w1 |
Quadratic twists by: -3 5 |