Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-26775000000000000 = -1 · 212 · 32 · 514 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-311865,67599225] |
[a1,a2,a3,a4,a6] |
Generators |
[105:6000:1] |
Generators of the group modulo torsion |
j |
-818964485892588736/6536865234375 |
j-invariant |
L |
6.8593850458461 |
L(r)(E,1)/r! |
Ω |
0.37743844588329 |
Real period |
R |
0.64905427459218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026764 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jw2 57120bz1 |
Quadratic twists by: -4 8 |