Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
3030a |
Isogeny class |
Conductor |
3030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-18095063040 = -1 · 214 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 1 -4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-488,7488] |
[a1,a2,a3,a4,a6] |
Generators |
[16:56:1] |
Generators of the group modulo torsion |
j |
-12893563987849/18095063040 |
j-invariant |
L |
2.0656197249422 |
L(r)(E,1)/r! |
Ω |
1.1047912969082 |
Real period |
R |
0.93484612465854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24240bf1 96960bn1 9090bb1 15150bj1 |
Quadratic twists by: -4 8 -3 5 |