Atkin-Lehner |
2+ 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480j |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
2008608000 = 28 · 3 · 53 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -5 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-761,7539] |
[a1,a2,a3,a4,a6] |
j |
190637476864/7846125 |
j-invariant |
L |
1.4598650199515 |
L(r)(E,1)/r! |
Ω |
1.4598647164037 |
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 |
51240p1 |
Quadratic twists by: -4 |