Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950gh |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1317120 |
Modular degree for the optimal curve |
Δ |
-73501212750000000 = -1 · 27 · 3 · 59 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11612,13039781] |
[a1,a2,a3,a4,a6] |
j |
15379/6528 |
j-invariant |
L |
3.7560118105834 |
L(r)(E,1)/r! |
Ω |
0.26828658658351 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950dj1 124950iw1 |
Quadratic twists by: 5 -7 |