Atkin-Lehner |
2- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2480n |
Isogeny class |
Conductor |
2480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
48050000 = 24 · 55 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 2 4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1052,-13129] |
[a1,a2,a3,a4,a6] |
j |
8047314026496/3003125 |
j-invariant |
L |
2.0957783757225 |
L(r)(E,1)/r! |
Ω |
0.83831135028899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
620b1 9920t1 22320bp1 12400s1 |
Quadratic twists by: -4 8 -3 5 |