Atkin-Lehner |
2+ 3- 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
24174g |
Isogeny class |
Conductor |
24174 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
122960164546768896 = 212 · 36 · 174 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 6 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-802188,-275827248] |
[a1,a2,a3,a4,a6] |
j |
78311397007706818753/168669635866624 |
j-invariant |
L |
3.8291107815772 |
L(r)(E,1)/r! |
Ω |
0.15954628256572 |
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 |
2686c1 |
Quadratic twists by: -3 |