Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282bb |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
1346680572804 = 22 · 34 · 79 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36359,2652761] |
[a1,a2,a3,a4,a6] |
j |
45182682230113/11446596 |
j-invariant |
L |
1.6715279814831 |
L(r)(E,1)/r! |
Ω |
0.83576399074185 |
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 |
90846bz1 4326m1 |
Quadratic twists by: -3 -7 |