Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240gp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
-1137436126837859520 = -1 · 26 · 316 · 5 · 75 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-488195,-140800263] |
[a1,a2,a3,a4,a6] |
Generators |
[45642584668473138629360:3539331712482871500526113:7484850841525820875] |
Generators of the group modulo torsion |
j |
-201059505072925571584/17772439481841555 |
j-invariant |
L |
5.9948732705028 |
L(r)(E,1)/r! |
Ω |
0.089853878554337 |
Real period |
R |
33.3590122483 |
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 |
114240kn1 57120bv1 |
Quadratic twists by: -4 8 |