Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282ba |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3312 |
Modular degree for the optimal curve |
Δ |
30282 = 2 · 3 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8,-1] |
[a1,a2,a3,a4,a6] |
j |
1164625/618 |
j-invariant |
L |
3.2570750768074 |
L(r)(E,1)/r! |
Ω |
3.2570750768102 |
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 |
90846bx1 30282be1 |
Quadratic twists by: -3 -7 |