Atkin-Lehner |
2- 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
30282bc |
Isogeny class |
Conductor |
30282 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1329750874174464 = -1 · 210 · 37 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13329,-1857297] |
[a1,a2,a3,a4,a6] |
j |
-2226025896193/11302695936 |
j-invariant |
L |
4.0082908303438 |
L(r)(E,1)/r! |
Ω |
0.20041454151715 |
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 |
90846cb1 4326l1 |
Quadratic twists by: -3 -7 |