Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cf |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10055500344852480 = 219 · 38 · 5 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55105,1248577] |
[a1,a2,a3,a4,a6] |
Generators |
[152544:11455093:27] |
Generators of the group modulo torsion |
j |
70593496254289/38358689670 |
j-invariant |
L |
5.6972693253392 |
L(r)(E,1)/r! |
Ω |
0.35517994594883 |
Real period |
R |
8.0202576052108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240js3 3570w4 |
Quadratic twists by: -4 8 |