Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30150ci |
Isogeny class |
Conductor |
30150 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
135041126400000000 = 218 · 39 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200480,-29633853] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:2145:1] |
Generators of the group modulo torsion |
j |
78232514242609/11855462400 |
j-invariant |
L |
7.8818310490462 |
L(r)(E,1)/r! |
Ω |
0.22791648169999 |
Real period |
R |
0.96061394827332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050b1 6030l1 |
Quadratic twists by: -3 5 |