Atkin-Lehner |
2- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109820d |
Isogeny class |
Conductor |
109820 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
242352 |
Modular degree for the optimal curve |
Δ |
-10603151310320 = -1 · 24 · 5 · 178 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37666,2805505] |
[a1,a2,a3,a4,a6] |
j |
-52950784/95 |
j-invariant |
L |
2.8865621408442 |
L(r)(E,1)/r! |
Ω |
0.72164061934366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109820m1 |
Quadratic twists by: 17 |