Atkin-Lehner |
2+ 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666n |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-696767564578176 = -1 · 27 · 36 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1862,-1271148] |
[a1,a2,a3,a4,a6] |
j |
-148035889/144353664 |
j-invariant |
L |
1.8366400366746 |
L(r)(E,1)/r! |
Ω |
0.22958013372759 |
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 |
9282q1 |
Quadratic twists by: 13 |