Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270a |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-6743874170880 = -1 · 212 · 33 · 5 · 72 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-238,124852] |
[a1,a2,a3,a4,a6] |
Generators |
[12:346:1] |
Generators of the group modulo torsion |
j |
-1500730351849/6743874170880 |
j-invariant |
L |
2.7650169446394 |
L(r)(E,1)/r! |
Ω |
0.60075968499868 |
Real period |
R |
2.301267057098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810ed1 |
Quadratic twists by: -3 |